Welcome to the club! I've been reloading for about a year now so I am by no means an expert. I reload for .45 Auto, 270 win, 38/357, .223, and I'm about to try 7.62x54r.
The first thing I bought was an RCBS Rockchucker supreme master reloader kit. Pretty quickly I decided I needed a case trimmer, a tumbler, and more reloading manuals, and a primer pocket cleaner
I think most starter kits from hornady, lee, RCBS ect. are all pretty good. DOn't waste your money on a cheap setup. My brother bought a Smart reloader kit for like $140. He ended up buying an Rockchucker and a RCBS scale a few months later.
I think gearing up for reloading is a lot like gearing up for fishing. By way of analogy, there are a few things that you absolutely must have to go fishing (fishing pole, string, hook, bait), then there are a thousand wingdings and doodads you can buy to catch more fish, or otherwise make the fishing experience more enjoyable or easier. Reloading is a lot like that. Basically, you need a press, dies, a scale, calipers, plus brass, bullets, primers, and powders. What you need beyond that is up to your personal preference and what you are trying to achieve by reloading.
I suggest getting a starter kit from hornady or rcbs, and as many reloading manuals as you can afford. Read all the manuals BEFORE you do any thing else. Try loading a few rounds and see how it goes. Once you have the basic concept down, you'll have a better idea of the other equipment you want.
Again, keep in mind that I'm pretty new to reloading too.
have fun!