Hi Jess,
I'm not sure if this is the answers you're looking for since your post is pretty general.
I hope I don't have to mention you need a probe, shovel and transceiver. You also need to practice using the transceiver at a beacon practice basin (or similar). It is strongly recommended you take an AST course at some point. If you have some experienced friends, I would recommend taking the course mid-winter or first thing next season.
As far as equipement goes, here's what I wish someone gave me as advice:
Boots: Get something very light with 3-4 buckles. Along the lines of the Scarpa Maestrale or Dynafit One, or equivalent. Try them all out and pick the one that fits best. Also, make sure your foot is not tight lengthwise, because when you skin up your feet move a little bit (and you probably want to keep your toenails). Intuition lines are good.
Bindings: Get Dynafits with ski brakes.
Skis: That is very much personal preference. Since you are new to skiing, it probably won't matter much. Get something cheap and used maybe, until you figure out what you like. I find that a roughly 100 mm waist works great in most conditions. I like a ski with camber and a longer radius. Keep in mind the wider you go, the heavier on the tour up. So I wouldn't recommend a set of Rossis S7 with metal in them...
Skins: Black Diamond are the standard and everyone is happy with them. I prefer the mix or the full mohair versions for the obvious reasons, although a bit pricier. I have the full mohair Geckos and like them a lot. Stay away from any G3. Dynafit skins look pretty good too.
Clothing: That's generally pretty obvious. For pants, I use the Arcteryx Gamma SK softeshells. They are cool enough in the spring and I layer up a bit in the winter. They are pretty nice for skinning up. No vents though.
For backcountry winter camping, I have no experience so I'll let others advise you.
Hope this helps. Welcome to ski touring. I'll be on my 2nd season without a season pass, touring only, and it's awesome! Even though I just said that, slackcountry is the best way to get into backcountry. It's a great transition with lots of people around and short laps.
Cheers, Joel in Revelstoke.