I really like 5th edition. Both Bryen and Bri have already said basically everything.
The Starter Set is really good. It comes with an introductory adventure, which is a really good one. Also has something like 5 premade characters, and possibly a copy of the basic rules? I could be wrong about that part. I don't have mine near me, and haven't looked at it in nearly a year.
There are a number of people who use things from previous editions in their 5th edition games (Including Pathfinder, which is a spinoff of D&D's 3rd edition), though it takes a bit of effort to convert.
D&DBeyond is pretty good, though being forced to purchase content you already did (rebuying the PHB to be able to use the information from it, for example) is annoying, though you can buy things piece by piece for it (just want information for Dragonborn and Paladin? You can just buy those two things).
5th Edition has been amazing. A lot of older players from AD&D have come back and actually like it. You can tweak the system fairly easily to play how you want it to. The numbers don't go to astronomical heights like they did in 3rd edition (as well as Pathfinder).
Also, Roll20 is a great site. I've played all my 5th edition games on there, and is fairly easy to learn. Back when I had a decent schedule, I got a group of Gaiscioch peoples together and DMed for them. I would like to get back into it, but I don't have any guaranteed days off, which makes it hard. Anyway, good luck and hope the new D&D brings you lots of fun.