Frankly, if you want a chop saw, then by all means have a chop saw. It won't be any better or worse than a hand held grinder. You should direct the sparks to a safe direction, wear PPE (eyes & ears), and provide ventilation anyway (and maybe a respirator is the ventilation is marginal). The saw will likely be on a stand of some sort, whether it comes with one or if you build it. You could wheel the saw to wherever the sparks, dust and noise won't be a problem and move it out of the way when you don't need it. Probably your garage is the best place for it, you'll have more room for long pieces, and a big door is big ventilation.
Nothing wrong with the other equipment recommendations, but you gotta start somewhere. Might as well keep what you have and plan to add more later.
Chet Guilford