The Lee kit, calipers, and a case trimmer of some kind will get you going. I didn't run a tumbler for years and I don't use it that often now. You can just wipe cases clean with a rag sprayed with Ballistol.
I
never clean or uniform primer pockets. It's a waste of time in my opinion. I've shot more sub 1/4 MOA groups than I can count with a variety of different guns and calibers and I've never seen a use for cleaning primer pockets. I've you're competing for money or just enjoy the tedious task of cleaning primer pockets then it might be worth it, but I still doubt it.
Don't over think it and you'll be fine. Get a few different reloading manuals and read them all. I have a Lee Anniversary kit that I bought 17 years ago and I've loaded all of my ammo, including match ammo from when I shot benchrest, on that press with regular off the shelf dies. I have tens of thousands of rounds on that press and it's still working great. I won't think twice about paying $2 each for bullets or brass, but the thought of spending a money on extra reloading equipment makes me cringe.

Andrew