Get a Canon t3i/t4i/t5i (little difference between all those) (600D/650D/700D in other countries)
Spend some money on a few extra batteries, they go faster in the cold.
Spend some money on a tripod for those static shots (don't get something cheap, 2nd hand aluminium Manfrotto's from the 90's are heavy but excellent if you want budget)
Spend some money on proper class 10 cards. 2x 16GB cards beat 1x 32gb card. (You won't lose all your footage if you lose a card.)
Now you have a shitload over for glass:
In terms of new glass:
The Tokina 11-16mm f/2.8 AT-X is the staple NS lens.
The nifty fifty is considered a must buy (for photos)