It's mainly an issue of context, and which word sounds most appropriate to you. Mainly, I would say "travel" is the most commonly used term, and is usually a verb. Voyage is used less frequently, and some people may ask you to repeat yourself, but the words hold the same general meaning.
Voyage is generally used as a noun, while travel is used as a verb. "I want to travel this year." versus "That was an amazing voyage/trip!"
A trip (again, depending on context) is the noun word for 'travel' So if I were to say "Are you going to travel this year?" One could respond "I already took a trip to Spain!"
Now, a tour is generally a showing of a place. For example, "during my travels, I took a tour of several museums in France." Touring is synonymous with site-seeing. It's a trip, whose purpose is to educate you about where you are.