Dan-
I’m training one of the best HS soccer players in Massachusetts.
Soccer players run a lot as you know. I’m sure your legs are strong in some respects. but I think you should do more than build upper body. That will help to balance your strengths. But you need to do some heavy lower body work to balance all the repetition/running work.
Heavy squats, GM’s, glute ham raises, deadlifts will both make you faster/accelerate better, give you some more max strength as opposed to strength endurance, and and help prevent injuries from the reptition wear and tear.
Don’t think of this work as ‘legs’. Its lower body and is posterior chain oriented - hips, hamstrings, glutes.
You’ll also find some heavy calf raises will give you some extra oomph on your first step.
See Joe DeFranco’s article - Westside for Skinny Bastards - it applies very well to your situation.
As far as home gym, ideally, a power rack, olympic bar and weights are the basic.
Extras include dumbbells of course. A GHR would be ideal but pricy for something worthwhile.