I prefer Lee myself.
I've never had a problem caused by a Lee press--now that's not to say I haven't had any problems...
Right now, I currently have four Lee presses: a Loadmaster (their top-of-the line progressive press) setup for .223, a Pro 1000 that will be set up for 9mm, a single-stage Lee Breech lock that I can use for anything, and another single-stage that can be used for .50 BMG (if I ever get such a rifle).
The thing I like about Lee is that for the price of one Dillon press, I have four presses, two of which are progressive and set up for specific calibers.
Some people swear by RCBS, some by Dillon, etc.. My take on it is to get a decent O-style single stage press and start from there. It will give you an appreciation for what to look for when reloading and how to fix your mistakes (which is not always possible).
Makes sure to get yourself a scale and a caliper--I prefer digital for both.