No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Tweety, go to the dealer they will get you a car with your current score. Infiniti is having a sale now. They are getting rid of the 2013 g37 fast to make room for the Q50 coming this spring. I was approved at Infiniti lease 12k yr for 2013 g37 Journey sedan sport premium with navigation for 369 a month including tax with zero out of pocket. My score Auto beacon is 657 that's what the sales person showed me. I made 62k a yr and I have 3 baddies and BK chp 7 discharge last year.
Goodluck!
From the information you gave I'm pretty sure your scores are higher and likely will get a better rate and the car you want. If I was in your shoes, first figure the car you want, then call the car dealership and speak to the Finance dept, find out what CRA they pull from, ask if it is a FICO or Auto-Enhanced FICO. Once you figure what CRA they pull from, check your FICO score here (if its TU or Equifax), print it out, take it to the dealer; speak to someone in the Finance dept, show them your CR and FICO score(s) and see what kind of rate you would get. They might be able to give you a rough estimate without doing a hard pull.