The best way to check in New Mexico is to go to the website www.nmcourts.gov and run your name. That will check for any state issued warrants. If you believe that your warrant might be out of the city court, you can also just call the court directly and ask if you have a warrant.
Does that get me more likely to get picked up on the warrant?
You need to call at the court, not show up. If you show up, you can get arrested, so it’s best to call and ask, and then if you find out there is a warrant, you can get a hold of an attorney or a bonds person to take care of it. It is best to get the information by website or phone.