Since you're TL, you have killer recovery so as soon as you knock a guy away, jump after him and knock him out (he'll probably airdodge you, so you'll have to learn to get used to waiting untill after he's finished and avoid getting attacked yourself)... If his recovery is bad enough, you could just gimp him with an arrow or boomerang too, this kills the momentum they get from their second jump and can't make it back... His down+air works as a meteor smash if you hit him with the first couple frames, but be careful; if you miss you're toast.
The difference between TL and big Link, is big Link is at home on the ground and TL is an aerial fiend... His back-air is good for KOs when they're at high damage too.