What can I go to school for if I am a convicted felon with a burglary charge.

Yes, some prisons allow inmates to take college classes while in prison.

You pick a college, write them a check and go to college.

Picking the right major, since some jobs may be restectied with a felony

Art appreciation or business administration, depending on the circumstances of the crime, might have a certain irony.

Then there is always political science. Most poiticians should, if they are honest, include theft on their resume. :)