You can manage, which earn traveling by air, for a three month work trip, without checking any bags if you really want to. Checking luggage, for some, is a pain in the rear. You have to worry about packing it, dragging it with you, meeting weight requirements, likely paying extra fees that you did not know about, and then hoping the airlines do not lose it. If you are traveling for less than two weeks, consider it. It may be a challenge, but it is doable. Flight attendants and crew do it all the time. They can go over a week with just a carry on. If they can do it, so can you. You can then use the extra $50, if applicable, for whatever you please. In addition to meeting the weight requirements, it’s just easier to pack lighter – fewer things may get lost (via flying or when you leave them in your hotel room), it is a lighter bag to tote around, and you'll have plenty of room for souvenirs and impulse buys. And it'll take less time to repack. Though you should hold off on bringing too many shoes, you have to bring some. Shoes should be packed in plastic bags to avoid soiling your other goods unless they are brand new. Also, consider packing socks in your shoes rather than waste space. Just in case something were to happen to your carry on, you forget to pack your carry-on correctly, or something unfortunate happens on your trip, put copies of important documents in your checked luggage. Scan your passport, visa, and anything else that you may need in the worst of circumstances. If you do it, you won’t need it. But if you don’t, you may. If you are bringing toiletries with you, it is likely something will leak. Each item should be wrapped separately and stored in bags to make sure none of it gets on your clothes. Keep these in a separate area in your bag, too. Take the lid off of each bottle and plastic wrap the top; then put the lid back on. This means that even if the lid opens, you should still be fine. If you are not already rolling your clothes, get on the bandwagon. It prevents awkward square-shaped...

How would you rephrase that briefly using Vietnamese?
Tránh dùng đến hành lý ký gửi nếu có thể. Xếp hành lý càng nhẹ càng tốt. Cho các bản phô-tô giấy tờ quan trọng vào hành lý ký gửi. Các sản phẩm đựng trong chai có thể chảy ra khi đi máy bay. Cuộn quần áo. Đem theo một hoặc hai túi nhựa. Xếp các vật dụng như khi bạn chơi xếp hình. Đừng mang theo những thứ mà bạn sẽ mua. Bạn có thể gửi hành lý đi trước.