How do you remove something that is stuck inside your ignition causing your key to not completely go in?

This may be a part of the tumbler. Unless you suspect vandalism.
You can get a small pick set from your local auto store and try to remove it or try to position it back into the cylinder where it came from. If this don't work unfortunately, you will have to replace the cylinder. Here are instructions in the diagrams below to help you. Check out the diagrams (Below). Please let us know if you need anything else to get the problem fixed.

First, it could be a couple things. If I had to guess, I would say the tumbler, the part the key fits into. Try spraying a lubericant into the thmbler, then run the key in and out several times. Try this a few times to see if it loostens things. Some people use WD40 and it works, but they do make a lubericant made just for tumblers.

Try this before replacing the tumbler. I can't recall if a 1996 had a coded key. If it does, it's a dealer job because the computer will need to be adjusted to accept the new code from a new key. Not cheap to do.

Try it and let me know if it helps.

Joe