The lee four turret is good enough for pistol (straight walled) rounds. A nice feature to them is that the turrets are pretty cheap and they pop on and off very simply. So you can grab a bunch of them and leave the dies all set up (as a note, they also made a three turret so make sure you get the right ones). For rifles (and/or shouldered rounds), the lee single (Challenger) press is a good one to start with. It's a lot stronger then the turret and if you want to fully resize the brass, you will want the extra strength. I have a bunch of lee products and the best deal are the dies. I would not recommend their kits though. I'd get, as separates, the turret, extra turrets, single press, primer seater, dies, case length gauge (caliber dependent), pocket cleaner, case trimmer with the ball grip, calpers and the volumetric (perfect powder) measure. The powder measure is a good start but from there I still weigh it using a RCBS electronic powder scale. I try and set the measure to a hair light and use a Redding powder trickler to top it off on the scale. You'll also need some lube if the dies are not carbide. Lee's modern reloading book is a good one to see what their products are all about and how to use them (I would suggest you get this and read it before you decide if you want to try reloading). I also like Lymans reloading book. I use both for the recipies. Besides this, you'll need a work area (some place where you won't cause a spark), a strong bench of some type, TWO shell holders, one on one side for un-powdered, one on the other for charged shells (this helps in preventing a double load using a single stage), primers (still hard to find without spending a lot), powders and corrosponding bullets. I say corrosponding because, if you look at the recipes, certain powders are better with certain bullet weights than others. They will be listed. Also, certian powders will give a better range in amounts thus allowing you to fine tune your recipe for a particular firearm. As for a tumbler, I have and use one. I don't care for the mixed (infused) media, it always leaves a mess. I roll with just straight crushed walnut (that you can get at pet stores) for the before prep tumbling and a bit of straight corn media with a squirt of mineral spirits and a used dryer sheet for the after clean-up (make sure to check the pockets for any stuck media). Here's my area with a lee single stage set-up ready to roll a couple:
Hope this helps.