I started reloading about 10 years ago.....45ACP on a Lee Turret Press and loaded thousands before moving to a Dillon 550 about 3 years ago. It will do just fine to start. No one mentions the Lee Reloading Manual but, if you are going to use Lee stuff, check it out as it has a lot of information on setup, etc. Lee dies work fine too, though my preference for pistol calibers now are the Redding Competition sets. For rifle, I tend to buy Whidden or Forster. If you go with Lee, just be sure you get a set that will have the dies to allow you to seat and crimp on different stations.
Lee powder measures will work, but I set all mine up with RCBS Uniflows, with micrometer adjusters and case activated linkages.....I spent more setting up each powder measure than I did on the press. Worked out OK since I transferred each to a Dillon Toolhead and they work great. My Dillon powder measure is still in the box.
.45 brass is very forgiving......use it till you lose it or it splits, just inspect it carefully before every reuse and discard if you see any cracks. No need to trim, anneal, etc. like you'll see discussed here for rifle calibers. I've never bought pistol brass...I scrounge it at my local ranges where I shoot and, if you ask nice, a lot of folks will even help you pick it up as they are interested to talk about reloading. You can buy once fired processed brass too, if you want. If I were a serious target shooter, I'd go with Starline, but I have no reason to go that route.
I've only loaded cast lead too.....never saw a need to try jacketed or plated for the target rounds I shoot. If you go with cast, do yourself a favor and only buy the "Hi-Tek" coated cast bullets. No wax lube to worry about that makes a mess of your dies and your other equipment. Lots of good casters offer these bullets, but my favorites are Missouri Bullet Co. and SNS Casting. The coating is all the same...its made in Australia and, at least initially, was imported and distributed by Bayou Bullets, another good source.
Have fun......when others can't shoot you will be able to because you reload.