You can think of like there’s two ways to burn off fat: active and passive. Active would be time spent in the gym or running, and passive would be the calories burnt doing regular everyday stuff, like working or watching TV. As you get more active and strengthen your muscles, more calories will burn even when you’re doing nothing, which is the end goal you’ll want. That way you always feel good!
For you, I’d recommend a warm up of 5-10 mins, maybe on the treadmill, jogging etc. your strength conditioning, then another cool down on the treadmill for 5 mins. Also remember: there’s a whole lot of places to burn. Do try to throw in a core or leg exercise in there! Best of luck mate.