Lee dies are ok, especially in pistol calibers, they are not what I would call suitable for a long range precision rig and I would not advise crimping unless you need to to prevent recoil induced bullet set-back. There's a time and a place for everything, and it's called college. Lee dies are great to learn with since most reloaders will probably bugger up at least one die while learning what not to do.
You don't say what kind of rifle you're using (bolt/semi/crack barrel/rolling block/etc...) so any information you get is unlikely to be well tuned to your needs. Focus first on what KIND of dies, not what brand. Then you can think about brand intelligently. Get ready, the road gets gravelly from here on. I'll be using terms about die types and not defining them because YOU NEED TO GO LEARN ABOUT THE KINDS OF DIES THAT EXIST so you can choose the right ones for you.
If you're on a bolt gun, you'll do well to get a bushing type neck sizer (with a small assortment of bushings) and a full length sizer. You may want a micrometer seater or not, I don't think it's going to matter for a new reloader right away. I personally like Hornady New Dimension seaters for most things and Redding micrometer seaters for things that I use multiple weights of bullets in.
If you're on a gas gun, you'll want to have a small base full length die on hand and a regular full length die as well as the seater of your choice. All of my small base dies are RCBS but I'm sure others (other than lee) are just fine.
You should also consider getting a universal decapping die and pulling the expander mandrel and decapper out of whatever sizing die you pick.
EDIT: Also, what AKSnowRider said should be paid attention to.