Base handset out of range

Yes....in fact it's best to return the handset back to the cradle after use.

This is what Uniden says about battery life.

(With average use, your handset battery provides more than ten hours of talk time and approximately seven days

of standby time. You can achieve optimum battery life and performance by returning the handset to the base or

charging cradle after each use. When your handset is left off of the cradle, the battery will gradually discharge even

if the handset is not being used. The actual talk time duration will be reduced in proportion to the amount of time the
handset is off of the cradle.)

I'll give it a shot. Have you tried re-regestering the handset? Press and hold down the "end" key (on most models it looks like a red handset) while holding that key down, press and hold the # key, after a few seconds the unit should beep and show:
(SYSTEM RESET)
Deregister HS
BaseUnavailible

Useing the four-way key select "Base unavailable" and press the menu key The LCD display should then show :
"Which Base?"
Base #1

Select base one and then the display will show
"Base Unavailible
Yes
No

Select "Yes."

Your handset is now unregistered. To re-Register the phone to the base do the following. If the base unit has a charging cradle, just set the handset in it and it should register on its own, if you have a cordeed base, or the unit will not register when you set it in the cradle on the base go to menu and select register handset, then press and hold the # key on the handset for 2 - 3 seconds, it should beep and then start the registration process. If you have 6 handsets registered to your base, you will need to de-register teh non-working unit from the bases memrey before you will be able to re-register the handset.

here are some tips from my manual for out of range problems
hope they help
• Only one handset can be used to make or answer a call anytime.
If another handset attempt to do so, the screen will display OTHER
HANDSET ON and then OR OUT OF RANGE. You might press PHONE
or SPEAKER again until no other handset is using the line. Use the call
transfer feature to transfer a call to another system handset
or use the speakerphone feature so multiple members of your
house can be on an active call at the same time.
• Move the cordless handset closer to the base. You might have moved
out of range.
• Ensure that the base is powered up.
• Place the cordless handset in base cradle for 1 minute to allow the
cordless handset and base to resynchronize channels.
• If the cordless handset is in its base and the charging light does not
come on, refer to the charge light is off in troubleshooting guide.
• Reset the base. Unplug the unit’s electrical power. Wait for 15 seconds
then plug it back in. Allow up to one minute for the cordless handset
and base to reset.
• Other electronic products can cause interference with your cordless
phone. Try installing your phone as far away from these types of elec
tronic devices as possible: wireless routers, radios, radio towers, page
towers, cell phones, intercoms, room monitors, televisions, personal
computers, kitchen appliances and cordless phones.

I had a similar problem which I finally fixed. You did not say if any of your phones registered.
First try the following recommended by Uniden Support:
Your phone(s) should be fully charged before putting them on the main base.
Unplug the battery from the phone by removing the battery cover and removing the connector. Then, push the # and * key together and hold while you plug the battery back in (requires some dexterity). Continue to hold the two keys until you hear a confirmation tone. This will force the phone to reregister. Put the phone on the main base (if you are sure it has a fully charged battery) and see if it will reregister it to solve the problem.
That did not work for me. So, I followed the instructions to de-register the handset (even though it hadn't really registered). But, I also pretended like the Base was not available (because using the base in this step also failed).
1) Press and hold the hang up and # keys for at least 5 seconds.
2) Move the cursor to select Base Unavailable and then press Select.
3) Select the base you want to deregister from, press Select and then move the cursor to Yes and select.
This causes the phone to delete any of its base information.
At this point, again insure that your phone shows the battery is fully charged and if it is not, put it on the stand alone charger base (not the main base). With the battery fully charged, place it on the base and try registering again by placing it in the main base.
If neither of these approaches help, contact support at Uniden.com.
However, my problems were cleared when I cleared the handset with the second set of instructions.

The handsets are reading out of range because they have lost connection with the base. This happens mostly during peak power demands or power outages, but can also happen when the phone is unplugged for any amount of time. This can also cause, at times, the answering machine to stop picking up calls. To remedy this issue, reset the phone system. Please follow the instructions below:
To reset the phone:
1. Disconnect the power adapter, phone line, and remove all batteries from the base and all handsets. Leave it disconnected for 30 seconds to reset the base.
2. Place the batteries in the handsets first and then plug in the power adapter and phone line. Do not place the batteries back in the base yet.
3. Put the handset in the charge cradle.
4. It may take up to 1 minute for the "Out of Range" to clear from the display.
5. Once the "Out of Range" is cleared from the handset place the back up batteries back into the base.

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Handset can not link.
• If any handsets become inoperable, place it on the main base cradle for 20 seconds to re-register.
No dial tone
• Check or repeat installation steps
• Make sure the base power cord is connected to a working electrical outlet.
• Make sure the telephone line cord is connected to the base unit and the modular phone jack?
• Disconnect the base from the wall phone jack and connect another phone to the same jack. If there is no dial tone on the second phone, the problem might be your wiring or local service.
• The handset might be out of range of the base. Move closer to the base.
• Make sure the battery is properly charged (for 16 hours).
• Ensure the battery pack is installed correctly.
• Did the handset beep when you pressed the TALK/CALL BACK button? Did the in use indicator come on? The battery may need to be charged.
http://www.home-electronics.net/ge/pc/IB/25922GE2_IB.pdf

You can unregister your phone without being in the cradle, but to re-register them, just put them back in the cradle.  After being unregistered, they will automatically re-register once they are put back in the cradle of the main base.  Try setting them back in the base cradle to re-register, and hopefully that will work for you.

The additional handset and the base need to "pair" first. Put the handset in the base cradle till you see the red light blinking. That's when they are paired.

THANK YOU IT WORKED>>>