I carry something like this with only 4 cards including my driver's license and insurance card. Keep my cash in a front pocket.
Slim your Wallet
The one I have was much cheaper and called a card wallet. Never have a problem with sitting on my wallet since I slimmed it down And started carrying my cash in a front pocket. Used a money clip for a while, now don't even mess with that.
Started with a card wallet that was just slots in the leather on either side, but the exposed edges of the cards got too worn so thickened up a little to one that folds like the one above. Biggest thing was to stop carrying all the crap I rarely needed.
When I pay with a card I usually comment "See my Obama wallet, no pocket for money."