I'm rather good at fixer ups because my mom doesn't like to take care of the house

If I was to do this, are you going to be living in the house while you do this?, if not I'd do all the ripping out at once so you can get it all hulled away at once.
I'd first off all go shopping for the new appliances because that my take a while, just don't order them till most of the other things are done. Same goes for light fixtures, which you need to make sure you wiring is set up for the new stuff, other wise you need an electrision.
I'd rip out the carpet, matting and hard floor then. I think the pergo stuff your talking about is a floating floor. For that you need the wood, the under mat, a mitre saw, and a special crowbar thing, which I forget the name of. Don't install the new stuff unti you Removal of tile in kitchen and regrouting of the two bathrooms, New windows and get the new french doors installed. Then paint lastly.
If you have a home depot anywere near you go to them and just ask. Nothing your really going is complicated, and you really only need the basic of tools for this stuff.