Request a copy of your driving record from the Department of Motor Vehicles. If you've been involved in any legal cases, go to county court and make sure those records are correct and up to date. Give neighbors and colleagues a heads up if you think an investigator might contact them.
Finally, edit or remove blog and Facebook posts - and especially photos - that could trouble an employer. Be very conservative in what you'll allow to stay visible. Do a Google search with your name in quotes to see if an unflattering reference pops up. If so, contact the website where the reference appears and try to get it removed.
Finally, if there is anything negative that you can't resolve, the best approach is to tell the employer before it comes back in a report. With the right handling, you may get points for honesty and good judgment.