No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
From what I have read here, my early morning pre-coffee guess is you'd be in 720s adding one of the cards and in the 730s by adding both cards. If you furthermore bring down the util for your own open cards to less than 10%, you just might hit 750. If you play nice for a year and apply for no new cards, maybe in the 770s by then. But don't quote me on it.
Well, my current Util is 1%, so perhaps 750s?
My Aunt also offered to add me as an AU on one of her older cards, which would be 25+ years of age...