If you don't have pockets, and dislike carrying a bulky purse, make the little wristlette purses with the little strap that slips over your wrist. Put your wallet, keys, whatnot, in the little purse, slip it over your wrist and away you go.
Also, if you are planning to do a lot of walking around, and are carrying a purse with a shoulder strap, wear it inside your jacket (if you are wearing a jacket) hides the purse and makes it hard for anyone to slice the straps, or pick it as they walk by. So many women tend to walk around with those big bags for purses, that are always gaping out, just waiting to be picked, or they have the skinny over the shoulder strap ones that are easy to slice the strap and walk away with your purse.
If you do not have a jacket, wear the shoulder strap over the opposite shoulder so that it slings across your chest, no straps hanging freely.