BMI is a bit of a crock, so dont take it tooo seriously. I am on the border of obese when it comes to BMI, and Im a pretty fit guy, under 10% body fat and athlete level fitness (got 14 on the beep test).
Cardio is best, I know many people hate it hell even I used to hate it but it really does wonders. And once you get into it, you will love it, and start seeing your fitness and appearance improve. If you hate jogging, I recommend getting one of those cross country ski trainer machine thingies, similar motion but without the impact of running. And an exercise bike. I love jogging but that's probably cause Im a soccer player, and its easy to do anywhere, all you need is shoes and shorts.
If you are always in hotels you can use their gyms, treadmills and bikes are standard in most places.
But the hardest think is making time to do it, that is your biggest challenge. You have to discipline yourself and MAKE yourself do it. Once you get into a routine it gets easier, exercise is addictive believe it or not I have a pregnant wife and its killing her not being able to do the things she used to do.