Hi - my name is XXXXX XXXXX I'm a Criminal
Law litigation attorney. Thanks for your question. I'll be glad to assist you.
First, I'm sorry for your trouble here, but you should be able to navigate through it without much trouble. Since a bench warrant has been issued for you, it MUST be served on you/you must be arrested - - that's the only way a warrant goes away.
However, it should be possible to turn yourself in, appear before the judge, explain the issue/mistake in not appearing, pay a fine for the contempt/failure to appear and the public urination citation. Thus, it should be possible for you to walk in, get booked, see the judge and walk back out in the same day -- keeping you out of jail.
BUT, you're going to need an attorney to arrange this for you. He/she can arrange you turning yourself in and coordinating that with seeing the judge about the citations/contempt.
If you don't have an attorney, if you were to turn yourself in, you'd likely have to wait in jail until the judge has his/her next court day - - which could be a few days away. It's likely that you could get a similar result without an attorney -- fines and no jail time -- but you'll likely spend some time in jail waiting.
If you want to consult an attorney, you can search for one at www.martindale.com; then click on "Find a Lawyer or Law Firm" and enter your relevant information (location and area of law/criminal).
Generally, a misdemeanor proceeding is not expensive, but you would have to call around for prices on what an attorney may charge.
Thanks for the question, and if you need anything further, please don't hesitate to ask.