okay just try one to get a gauge for if your credit is good or not.
Bank of America. If you get a decent pre-approval offer your chances of getting approved are VERY HIGH and they are VERY prime.
and your still far enough out before the home buy you can do a couple applications, and probably would be a bad idea to get 1 or 2 good cards and dumb 1 or 2 of your aweful cards(cross country)