You're going to get a bunch of suggestions. Most of us will try with the mindset of "if I could go back and skip the crappy stuff, where would I have started?". I would skip the starter kit for one thing. They're cheap and an ok way to start, to get a general idea... But they generally have crap batteries and/or crap tanks. I do not currently use anything from my starter kit.
You're going to want two batteries (at least). Even if you have pass throughs. You're going to want variable voltage batteries. As others have said, stick with ones that have ego/510 threads.
Where I'm going to diverge from the herd here is on tanks. A lot of people seem to gush on the bottom feeders. I hate them. They're generally low maintenance, but imo a bit weak in the flavor dept. and the vapor with them is a bit too "cold" for my taste. Then there are top feeders. I find them to be better in the flavor department than bottom feeders. BUT, you need to generally keep them upright, or they will leak. Then there is carto tanks. I actually really like these. The downsides are some juices gunk them up (which makes the cartos not last as long), and not as easy to go from one flavor to the next.
I'd recommend getting an iclear16 (top feeder), a kanger mt3 (bottom feeder) and a smoktech dct carto tank. You should be able to get them for $10 or less each, and that way you can figure out what you like (so you can be pointed in the right direction from there). With a couple 1100mah twists, it would cost you about $80.