No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
They will most likely do another pull or ask you to wait and re-apply. (I think chase wants 60 or 30 days between apps) Now I've heard of some people being asked about income verification but not many...so you are probably safe to put down your new job income especially if you have to wait (by then you should have a few checks just as a precaution) In any case most credit card applications say you can put a resonable estimation of what you believe you will earn anways. Good Luck!