Great information all. The best advice I've seen so far, and will ditto it, is about getting a couple of good modern reloading manuals and reading through them. I've got an older Speer manual, a not so old Hodgdon manual, and the most recent Lee Modern Reloading. I like the Lee the best because it's most up to date, and covers a lot of technical stuff to help explain some of the actual steps in reloading. I have never heard a bad report about customer relations pertaining to any of the makers of reloading equipment...all the way from Lee (inexpensive quality beginners) up to Dillon (the Cadillac of reloading. They are all basically "gun" related companies owned by "gun" people, just like you and me. They all seem to have a great desire to help others get into and stay in the hobby.
I reloaded maybe 30 years ago, but got out of it due to a lot of things. Mainly I just didn't have time. However, now with the price of ammo skyrocketing, I am getting back into it. Plus I am learning a new part of it to add to my skills. That being casting my own bullets.
One thing I have noticed with the meteoric rise in metals prices, is that there is not quite the initial cost savings in reloading as there was 30 years ago. Even with once fired brass in some calibers, you won't realize a real savings until your 2nd or maybe even 3rd reload. Especially when you factor in start up equipment.
So, my bottom line which probably mirrors some of the above posts is this. Start off as inexpensively as you can. I started way back in the Jurassic period with a simple Lee Loader hand tool. It was a great way to start out really cheap and learn the basics and science of reloading one slow step at a time. I then stepped up to a Lee turret press, which I still have and got back out of storage a few weeks ago to start back up. I covet a Dillon at some point, but right now I'd rather spend that kind of money buying AR lower's and parts to build more evil black rifles.
Most importantly, the main reason to get into it is because you want to. It is a great relaxing hobby with the end result of something you made yourself. Good Luck.
Oh...one more thing. If you go to the Lee Precison site and look at the videos page here
Lee Precision Help Videos you can watch some instruction videos to help give you the idea of how it really works. If you're anything like me, seeing something along with reading about it helps a LOT.