A trip is an instance of traveling. A trip is when you travel from ooint A to point B. Trips are specific and countable. I took four trips last year. I made a trip to the grocery store last night. How was your trip to France? My trip was interrupted by bad weather. I can list each trip from point A to point B, from point B to point C, etc.
Travel is a verb that describes the action of moving from one place to another (from A to B). This word emphasizes the action of traveling and is non-specific and uncountable. I traveled around the world. My travels (in my lifetime) have taken me all to many countries over the world. These travels may have included 5 trips or 50 trips. We cannot be sure because "travels" refers to the action of traveling, which may have been spread out over many non-specific trips.
"My trips" is specific and countable and is not the same as "my travels" (non-specific and uncountable).
I hope this helps.