I have a black leather coach wallet. It only has 1 fold and is very very thin, I like it a lot for this reason. Whenever people see my wallet they are amazed by how thin it is compared to their giant bulky wallets. And even though it is thin doesn't mean it is empty, it still has a ton of cards and cash inside it.
Plus, remember to always keep your wallet in a front pocket. Keeping your wallet in your back pocket can f-up your back or hip (I forget which).