My first welder was a Lincoln PowerMIG 180C, which I still have. Later on, I added an AlphaTIG and a Titanium Unlimited 200. The latter machine is from Harbor Freight. It does MIG, stick, and DC TIG. I thought it would be nice to have a backup and also have more than one type of wire loaded at all times.
The Titanium has worked perfectly, and the torch is handier than the big Lincoln torch. I rarely touch the Lincoln now.
There is nothing wrong with MIG. America used it to make stuff that was used to fight World War Two, and there were no news stories about MIG disasters. If you're an idiot, you will make bad MIG welds that fail, but that is also true of every other process. Just don't be an idiot. Learn to make a good weld. It's not rocket science. MIG makes strong welds very quickly and easily.
That being said, I agree with whoever said you should do stick first. Stick will work fine in horrible conditions, and it's cheap. It's hard to learn, but that is helpful, because if you do MIG first, you will be less motivated to learn stick later. I am horrible at stick because I have not had the patience to study it.
A 115V welder can weld large stuff if you do multiple passes, but there are plenty of dual-voltage welders out there that make it unnecessary for you to choose.
Some advice about carts: don't buy one. They're all pretty bad compared to what you can make for yourself. I took US General tool carts and made rolling frames for them. Most carts are cheap and flimsy, and they put all your stuff out there in the open, in the way, with the grinding dust. A tool cart will keep everything clean and handy. I put something like $325 into each of my carts, and they're way better than anything I can buy. These days, call it $425.
I used the existing bolt holes in the carts, so they aren't modified at all. The frames screw right on.
The Lincoln and Miller carts I've seen are especially pathetic, and the prices are silly.