1995 chevy cavalier right front wheel moves horizontally by 3/4 inch there is slight vibration during drive

Your U-joints on the drive shaft sometimes you could tell if you you start the car with your foot on the brake and put it in forward and then reverse then forward and reverse with your foot on the brake and see if it clunks or makes us noise that's one way to tell

Fix your car right away by clicking the link I attached Chevy Cavalier 1995 2005 Factory Service Workshop repair manual

Brake caliper sticking

What year?

Wheel bearing by the sounds of it. These cars are known for wheel bearings going bad. Hope this helps

tie rod ends,replace them

If the wheel is in balance and there is no other signs of what is causing the vibration than yes that cv joint should be chk. Is the strut ok? might want to chk. that too.

Jack up the front end and put stands under it and block rear wheels. Look at axle boots and see if they are cracked. Try turning wheel back and forth sharply and see if you can hear any clicking. Problem could be outer axle joints. If the boots are cracked or you hear a clicking noise you will have to replace the axle. The axle and boot come as a complete unit. Please let me know what you find out.

check the u joints on the rear shaft

Good job, sounds like you got it going your way.