I have a warrant issued for my arrest for retail fraud from 2019. How do I go about taking care of this warrant without going to jail?

As long as the amount involved is not a felony, do this: Call the court and ask when walk ins for warrants are done. Unless you have a lawyer, a lawyer will be appointed for you. You might be better off with your own lawyer. It is a really good idea to get a cashier's check for the amount that was taken and pay it to the merchant. If the merchantr is out of business, that won't help. But a receipt showing you paid back will go over well with the judge. As it is probably a misdemeanor, unless you have an extensive record, you are looking at probation and a fine and court costs. Hopefully this happened a few years ago. Good luck to you.