The biggest advantages of vinyl are access to music and buying used. There are tens of thousands recordings that never made it to digital, so you need a turntable to explore them. Even better, you can usually find all sorts of used vinyl on the cheap - sometimes you'll get a big box for $10 or $20.
There is a learning curve for vinyl and you'll have to pick up a few new skills for setting up a deck. It's not that bad and anyone can learn, but there's more than just plugging in a CD player and pushing "play."
I won't go into the argument over digital and vinyl other than to say that vinyl can sound excellent. But vinyl isn't worth the trouble unless you're mostly interested in finding new music. The new 180g audiophile pressings are nice, but you'll get hit for $40 or $50 apiece. You're better off buying good CDs and SACDs. For vinyl, you should be interested in exploring music. Going to a junk store, finding 20 LPs that you've never even heard of but look interesting, then paying $5 or $10 to take them home. That's where digital has nothing on vinyl.
If you want more information on decks, setup, and much else, go read the articles by the Vinyl Anachronist.