i just installed a CD player in a 96 corolla last week. u dont need an installation kit. all u need is a harness, to make your life easier. use
www.crutchfield.com or
www.etronics.com to see what CD player fits your car. take off the black panel, it just pops off (on top). you'll be able to put the CD player into the same spot as the original one. unscrew the old player, attach the harness, and attach the wires, and use the brackets from the old player to mount the new one. and yes, the new CD players have move holes in them. the harness you need, if you'll order from
www.etronics.com is TWH-950.

good luck.