We have Visa debit cards, will those work?
DW and I both have Debit Gold Mastercards. We don't do Credit Cards the the "credit" part (even though here in france all debit and credit are referred to as "Credit Cards" and it's always puzzling for a first timer to be asked wether debit or credit at a store in the US ...)
We've always used our debit cards, (Visa before we switched banks, and Mastercard) to cover for room charges without any issue
only issue we had in the US (crossing fingers here

) was at
walmart on 535 where the card just wouldn't be accepted.
But there are a few things you need to be aware of.
There will be holds on your card for everything that's not prepaid (car rental if not prepaid, hotels if not fully prepaid for, and so on)
If you go debit card only you will probably need to ask your bank to raise your spending limit, as the hold eats into that limit.
We have 2 cards with a £8000 monthly limit on each, so I guess it helps, but if you have a low spending limit and have recently made lots of purchases (like booked a flight) you might fall short
also, PP's advice about warning the bank is paramount.
You MUST call your bank at least 72hrs before departure and tell them to make a note in your file that you'll be in the US and using you debit card in the US, and give them the dates you'll be across the pond.
If you don't do that, the bank might block your card as a security measure against what they could consider as a fraud attempt.