When we travel, I discard my usual 5x4 inch leather wallet for a small card wallet. This holds way more cards than I need and has a small, tight slip inside the cover which will hold a couple hundred euro, in large notes. This wallet I slip into a zipped pocket behind the front pocket of my cragghopper cargo pants with zip off lower legs for warmer climes. I also carry a small amount of paper currency in my back, zipped pocket, about €30-40 for instant access for purchases. If I have to carry passports, they fit into the thigh pocket of same pants, which I always wear travelling. At destination I always lock the passports in the safe, never carry them about town. I have travelled through and around many European cities this way. Key thing, though, is vigilance. Watch out for 'bumps', strangers finsding a ring or watch on the ground and insisting it's yours, sudden soiling of your clothes by an invisible bird and accompanied by enthusiatic cleaning from stranger - this is always pickpockets at work. Be careful on buses, metro etc.
I can't imagine wearing a money belt or hidden wallet. I find it sweaty enough without such accoutrements.