I have a felony charge from 1996 that I would like to be removed from my record
Criminal Defense Attorney
As I am not licensed to practice in the state of Ohio, my answer is based on general legal principles. For a specific answer to your question you should consult a lawyer licensed to practice in your state.
Most states have an expungement procedure which will remove the conviction from your record though not the arrest. Only certain categories of cases come under the expungement statutes so it is important to talk to an Ohio attorney to see what relief is available and whether you qualify.