Domestic trips or international trips?
People travel for various reasons. Some look <s>for</s> to relieve stress <s>relief</s> from daily life, some plan to have new experiences (I think "plan" sounds too strong when "look to" and "look forward to" are more hopeful. Maybe "Some want to have..."), and others look forward to seeing or making friends. Depending on their (I think "their" is better than "the" here, because traveling is personal) objective, people choose different places and activities. For me <s>my part</s> (it's your opinion ["I love..."] rather than direct action, so I think "for me" is best), though I love both domestic and international trips, I prefer to travel in my own country. In this essay, I <s>would</s> will discuss how traveling in one's motherland <s>could</s> can be enriching and practical.
First, domestic trips can deepen your knowledge of your country without being constrained by a tight itinerary. When traveling abroad, people <s>is</s> often favor<s>ed to have</s> exotic and relaxed experiences ("exotic" is something new and exciting, but "relaxed" has the opposite meaning. Maybe you can pick a different word. Also "exotic" is sometimes a problematic word in English so maybe go with something like "exciting but low-stress experiences"). However, the short duration and the tight schedule prevent many people from enjoying the location to the full. ("The short duration" implies that international trips are always short. Maybe "However, since most people schedule short trips with tightly-packed schedules [...] enjoy international locations to the full") I, too, have rushed from one tourist attraction to another in London, (I would say "abroad" instead of London, to keep your point more broad) not being able to savor the beauty and acquaint myself with the history of the place. All I could retain afterward was a vague memory of taking some pictures and getting exhausted. On the other hand, domestic trips are usually less costly and less tightly organized, giving room for a more thoughtful reflection (I agree with the sentiment, but "reflection" sounds quite academic, and not what people want to do on vacation). I vividly remember my visit to Booyeo, a city in South Korea. My brother and I planned to visit only two museums during that trip, and we spent hours in each museum, marveling at the works of art to our heart's content and participating in the history workshops provided by the museums. We were fascinated to be able to learn about religious traditions and political conflicts in the region. The in-depth excursion (a bit awkward. Maybe "fascinating museums" or "time we took in the museums") led us to reflect on the history of our country. The fact that we didn't have to see all the famous spots in one go--as it has been the case with traveling abroad--made it all the more tranquil and satisfactory.
Moreover, domestic trips are often more budget- and health-friendly than international trips. ("health-friendly" is not usually used for trips...maybe "safer"?) Money and health are indispensable assets, (This is awkward phrasing, maybe cut out the whole sentence. People already know money and health are important.) whether in daily lives or on trips. For example, if I <s>am to</s> stay in France for two weeks, it <s>would</s> could cost me about half <s>the</s> my annual income (maybe elaborate on this? "..for two weeks, between flights, hotels, etc, it could cost..." You can also say "If I were to stay...it would cost"). However, if I choose to spend the same amount of time traveling around my own country, a two-months' salary would suffice to cover the fees (again, you can elaborate on why it is cheaper). Another thing that many people neglect to consider is food. It <s>would be</s> is nice to try out different foods overseas, yet many people have difficulty digesting foods that they are not used to. Personally, being severely lactose-intolerant, I am not likely to thrive in countries whose typical meals are loaded with dairy products, such as France. (I'd word this without a negative construction, like instead of "not likely to thrive," I would say "I am likely to struggle/I would probably have a hard time")
Since your English is so good, I edited this not just for grammar but also to sound natural and logical, like I would edit a class essay ^^