Hooking up my converter box to my tv and game consoles

SOURCE: Sanyo DS31590 31'' TV DO I NEED CONVERTER BOX?

If you do not have cable or satellite YES you will need converter box anyone and everyone that uses antenna to watch tv needs converter Box.

SOURCE: my ge tv digital ready?

Your TV is NOT digital ready. IF you do not have cable or satellite, you will need a converter box. If you do have cable or satellite you have nothing to do or worry about as the cable or satellite box will automatically do the conversion for you. Hope this helps

SOURCE: I have an RCA converter box hooked up to an RCA tv

Basically, you cannot use the coax connections for both the VCR and the RCA converter box. I would hook up the phono/cinch connectors from the VCR to the TV if you can (these are also called RCA connectors, but I'm avoiding using that name so we dont confuse the digital receiver with a cable/connector name that is the same here). There should be a yellow one for video and red/white ones for left and right stereo. I believe the RCA converter comes with a three headed cable that can do this for you. With this configuration, you can set the TV to input on these connectors and the VCR should always output there. Once that is set, you can still use the converter box to receive the signal from your antenna, then run the coax to the VCR. Now, the VCR will always have to be set on channel 4 in your setup and you will need to manually change channels on the converter box for it to record a show. Does this make sense so far?

SOURCE: can you hook up a dvd to your coverter box

Yes you can. I'm pretty sure your converter box has a Auxillery on it.