I also carry ... and the ever present cell phone. I don’t normally carry my wallet or a watch
Cell phone = watch. You probably know what time of the day it is with sufficient accuracy anyway, so a watch shouldn't be that important.
I feel naked without a wallet, or at least an ATM/credit card and/or cash. So many little inconveniences that can be overcome with money.... Such as paying for taxi, snack or whatever. If your wallet is too big for comfortable carry you could consider getting rid of some wallet stuff, or find some other method of carry for the non-essential contents. Come on, you don't really need much more than ID, some cash and some ATM/credit cards in a wallet.