I've been doing a lot of cooking since accepting that I am Mr. Mom for the foreseeable future. Using America's Test Kitchen as a resource for recipes, but also their equipment testing is pretty good too, the website subscription is worth the investment if you are starting out, IMO.
It's not in the OP, but for cookware Walmart also has the Tramontina 10 piece fully clad set. If you are just starting out it is probably better than the 8 piece set, it has the 10 and 12" skillets, 12 quart stockpot, 5 quart dutch oven, 2 and 4 quart saucepans. Add yourself a 12" nonstick, a 12" cast iron, and 7 quart enameled cast iron dutch oven, and you are golden.
Few things I've picked up lately that have been very nice additions:
potato ricer
garlic press
salt pig
pullman pan
broiler safe 13x9 pan
roasting pan with rack
One thing I have learned previously in life, especially doing construction/electrical work, is that quality tools are nearly essential in doing a good job. You don't have to buy the most ridiculously priced item in a category (like, most of us don't need Snap-on sockets, but the cheapest dollar store variety are practically useless) but reading reviews and getting something reasonably priced is probably wise.
Nice list, some things I might change but it's a good starting point for sure!