Ramp and freestyle tricks need to head in the freestyle category. Then BMX is for you. Freestyle bikes tend to be really heavy duty, solidly built for hard landings. Everything is oversize and heavy. These bikes tend to take more abuse than any other, but that is not to say that stuff doesn't bend or break.
Nothing is bend-proof.
Dirt jumping bikes take the frame and wheels from freestyle, but have longer top tubes for big air tricks. They also usually just have one brake, like a BMX bike. BMX bikes are light and designed only for racing. Don't put axle pegs on a regular BMX bike or you will be buying new axles right away. They simply aren't strong enough for freestyle.