Old luggage locks like this are usually "warded locks", a very simple design with very little security. They can be opened with a pretty simple tool which you can probably make out of junk if you need to, or you can obtain a set of warded lock-picks on Amazon for very little outlay. (Other sources are doubtless available.)

Here's a demonstration by a well-known Youtube lockpicker.

Old luggage locks like this are usually "warded locks", a very simple design with very little security. They can be opened with a pretty simple tool which you can probably make out of junk if you need to, or you can obtain a set of warded lock-picks on Amazon for very little outlay. (Other sources are doubtless available.)

Here's a demonstration by a well-known Youtube lockpicker.

Newer luggage locks are often of a type that can be opened with a TSA key, recognisable through a red diamond-shaped logo and a TSA00X code printed next to the keyhole. Complete sets of TSA keys are also readily available by mail-order. These locks are usually also quite easy to pick using raking tools.