Yep, 3 cards (credit/debit, id, and insurance) and a few bills of cash. If I carry more than a few bills, typically carry in my pocket not in wallet. Pepper's groomer only takes cash.
Was always a big proponent of a skinny wallet. New replacement wallet I got is skinnier with everything could find to stuff in it than my last wallet (that I ended up washing machining to death) without anything in it. Remember my Dad's wallet being about an inch thick folded.

It's a Bellroy Slim Sleeve. It is 1/4 inch wider than my old one when folded though They have one that is a layer of leather thicker that has a bill pocket the size of the wallet, the Note Sleeve.
What restaurants don't take cards? I keep forgetting.