It really depends on what all you are planning or wanting to do. For years, in my teens, I worked on things at home in a garage with no air tools, floor jack, and jack stands. And I did a lot of stuff, but looking back I know I spent a lot of time doing things or attempting to do things that I could do today in the shop in just a few minutes. But you will likely never, ever, have nor need all of the expense of the stuff I have now at home in your garage working on a few of your own cars. It just isn't worth it. You are better off just paying someone who HAS the equipment to do it.
Everyone needs to know their limits, and decide what works or doesn't work for them. Tools, good ones, are not cheap. But they'll last a long time... often indefinitely. A lower quality tool may get the job done once or twice, but won't get it done 100 times. But if you only NEED to do it once or twice, and it CAN get the job done, and you do not put yourself in harm's way using it, then that is your best choice.
And yes, in the case of impact tools, an air operated one does of course necessitate an air compressor... and the type needed to make proper use of a big chunky 1/2" drive one like mine will be substantial. Not the little roll around 120v jobs like you use with a brad nailer. Those will barely get one wheel bolt loose before you have to stop and wait...been there, done that, LOL.
But, even if you let it sit for six months, it'll still work. The cordless ones, if they sit for six months, the battery may be flat, and it may not charge back up. Also been there, done that....