I have a bunch of metal-cutting saws, and the one I'd reach for with square tubing is a dry-cut saw. I have the Milwaukee, but you can get Northern Tool's model for less than $250 on sale. It uses a low-rpm motor to drive a toothed blade, which is much more precise (and not all melty and dusty and annoying) like what you're working with now. You can cut uniform lengths all day long and then put the thing back on a shelf.
A lot of guys love horizontal band saws. I had one for about ten minutes, but just couldn't swallow the amount of space the thing was going to take based on how often I'd use it. (But I've got a very small shop.) Instead, I got a portaband with a table it mounts to. It wouldn't be my first choice for repeated cuts where accuracy is important. But there are a lot of things it's great for.
Sawzalls and cut-off discs on angle grinders also have their place. Jig saws, too. I recently got a Rockwell Blade Runner, which inverts a jig saw under a table and is great for cutting shapes.
But the dry cut saw gets the most use. I use Freud Diablo blades -- I got a bunch when Cripe had them for $40. I'm on my third, which I switched to during a recent project I did for my kid's school, which involved cutting and bending just under 2,000 pounds of steel.
For perspective, I'm not a pro and I don't have a lot of money to throw at tools. Here's the poor-man's bender setup I was using for the school project.