Travel experts always warn women to be wary of purse theives who “cut and run” — that is, use a razor or a knife to slice through the strap of your bag before grabbing it. Travelon’s Carry Safe bags have a hidden chain-link construction, a cut-proof adjustable strap that conntects to the bag with a sturdy metal loop, and locking zippers to keep the contents secure.

$34.99 at eBags.com.

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