When traveling I usually try to wear a knee length cloak instead of a coat. And with either one, I take them to a fabric store and try to match the lining and buy enough fabric for a pocket on each inner side. My money, credit cards, ATM card and important stuff goes in them. Either way, a purse can be worn under the cloak. And the cloak is easy to make.
Not something crooks find easy to pick pocket that way.