No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
I don't have a lot of experience, I can only share my own.
Hubs and I are in the process of buying a home, we're going USDA. I had a 7 year old charge off on my credit that was scheduled to age off in September. Not one, not two but three different mortgage brokers told me I HAD to take care of that charge off before I could get approved for any loan, USDA or otherwise. It was for $4500. It was so old that they actually sent me a 1099-C and "forgave" the debt but left it on my credit report. Desperate for the mortgage approval, I went ahead and settled it for 30%.
I also had a number of "baddies" that I took care of as and when I had the money but they were not as much of a priority as the car loan. My priorities were: car loan, make sure I had a couple good tradelines, and then the little collections. After a year of rebuilding, I got USDA approval with a decent score and two still outstanding baddies - a nearly 6 year old electric collection, and an unpaid $118 collection for who knows what. My lender hasn't said a word about the unpaid collection.