I uh, don't really do either, but now I have a mixture, wristlets!
As a man, I sometimes got wallets, and they worked I guess, but I never really liked them or what not. Then what I had which was perfect(and I actually still use within my wristlet, somewhat) is a phone case that looks like gameboy and has slots for cards as well as a see-through slot for driver's license. It's served me faithfully.
I told me wife early on, I couldn't see myself with a purse, I think maybe, eventually, but I would have to pass much better first, I feel. So, right now the wristlet is great, it's bigger than a wallet, definitely more feminine, and I don't need to adjust it or things like that.
I mostly only get to dress femme when I am working, and when I work I am bending down and reaching for in-store products basically every 5 seconds. It would be an absolute nightmare having to adjust my purse every single time I bend down >.<