Plenty of good advice already here, but chiming in nevertheless (from Finland, next door). A preliminary welcome to the world of cold water diving!
First, forget the wetsuit. A lot of people say they'll use a 7 mil for summer stuff, but almost none actually do after getting a drysuit.
Tanks: Double 12L 232bar steel with concave bottom is very popular and easy to manage, but the non-concave option is good as well. Steer away from 200bar steel bottles.
Wing: 40lbs donut is great for D12 + one stage. The 60lbs wing is needed with double 18L tanks or if hauling lots of stages and other stuff, but is unwieldy with D12.
Regs: You deffo want environmentally sealed regs. Nothing fun in freeflows which won't go away. Apeks is a safe bet, and you can easily use 20+ year old second-hand regs if they've been serviced - or go for the newer ones with better hose routing.
Suit: There are a lot of good options, but if you are looking for a suit to use first in Europe for 2 years and then in the US, I'd go with Santi due to the service support on both sides of the pond.
Seals: Exchangable silicone seals are the way to go. Santi has a brilliant smart seals system for the gloves (it's odd how good it is despite being completely flexible) and you can have a neck ring as well fitted to the suit, definately worth it.
Undersuit: A merino wool base layer is great. With drysuits, you can layer up in winter and switch to a lighter undersuit in the summer. A lot of people swear by the Santi bz400 undergarments, but Weezle makes very warm ones as well, and there are other brands as well. Hestra liner gloves are great. Get ready to use double wooly socks in your booties.
Heating and P-valve: Contrary to some of the other comments here, I'd not rush with these. Learn to dive the drysuit first, then worry about these - they are easy to add on afterwards. Or if you get a good deal on a built-in P-valve, take it, but don't worry about using it until you feel the need for it. I use my valve on perhaps 1/3 of my dives, moreso in the summer when hydration is trickier. Heating for 1/3 dives, moreso in the winter.
Weighting: Drysuit weighting is indeed different from wetsuit weighting. I'd suggest getting a drysuit primer from someone and getting help with trying out different weights.
I think there's probably an active club scene in Norway as well, so there might well be a very efficient second hand market - worth asking around.
And most important of all, remember to have fun