Congrats on getting to the point where you want to get serious about your game. My first bit of advice would be to get properly fitted if you're going to spend the money for decent clubs. It is amazing how much difference having the right shaft in a club can make. Some of the big-box golf retailers have good fitters, some not so much it seems. My personal experience was that the "fitter" wanted to make sure that my perfect fit was something they had in stock. But even that would be better than nothing.
So far as what to get, the "best" club mix it is really a personal question, but here's one suggestion. Yes get a driver, then consider a 4 fairway rather than a 3. A 4 is easier to hit off the deck and will get you darn near as much distance as a 3. Choke down a bit and you don't need a 5 either. I have gone to carrying a 7 fairway, but some think a 3 hybrid is the cat's meow, try 'em both. The choice between a 4 iron or a 4 hybrid is again purely personal, you gotta figure out what you can hit better, or if you want one at all for that matter.
On the other end of the bag, I personally think everyone needs a club of at least 56* like a sand iron, and a lot of people think a 58* or 60* lob wedge is important including me. You might take a long hard look at Ping irons since they tend to offer wedges that match their sets and aren't bad clubs if you don't have your heart set on some other specific brand of wedge. The new Karsten irons have wedges down to a 55* sand wedge, the G25 and older G20 irons go down to a 58* lob wedge.
So far as a putter... that is mighty personal. Edel was recommended and most I've heard of who have them love 'em. Most of the big name putter makers have high end putters in the $300+ range, and I would recommend getting fitted for any of them, but there are lots of pretty nice putters that cost a lot less and can serve you well, particularly until you are pretty sure you've settled in on one particular putting style and have no intent to change. If possible find one of the big-box retailers that has a good selection of putters out for testing and spend some time rolling balls. The darn things come in so many shapes and sizes only you can decide what fits your eye and aligns right, what turns you on, and what turns you off.