boomie1312_1For doing both video and photography with a budget of $1000 I would get:
Canon t3i body used for $300
Tamron 17-50 for $280
ND Filter: $20
Two 32GB Memory Cards: $50
Extra Battery: $30
Tripod: $200
Rode Mic: $150
Camera Backpack: $70
These prices are rough estimates and are my personal suggestion based on my own experience. Hope this helps you get an idea of the prices of things. Best of luck
This is a great start but I personally would change a few things.
Get a few non-canon extra batteries as well, they're cheap and if you get enough of them they are reasonably reliable.
I personally don't care so much about the tripod. I would say get a cheaper one and maybe a cheap glide cam. I hate hauling a tripod around and you can throw a screw in the top end of a ski pole and use it as a monopod for pretty good results. For a beginner just starting out I don't think a tripod is really worth it. (on the flip side, making sure your shots are stable is really important, shaky shots are super common for noobs which is why a tripod is a good idea.
I wouldn't get a camera backpack just because I feel like the lower end ones at least aren't worth it. If the gear listed above is all you get then a ski backpack like a heli-pro with a DSLR case inside will do well.
I also really prefer a fanny pack to a backpack. If you shoot mostly off-piste it can be a little sketchy to set up the shot and chances are your skiers would rather be skiing pow than waiting for you to set up. I use a fanny pack to carry my 7D, my 18-200, my 11-16, an extra battery and sometimes my OM10. I can strap a tripod or a glide cam to the outside. I wear it on my belly so everything is accessible, one zipper and you are ready to shoot. I also think this protects it better, if I crash I can ball up and protect the camera on my belly instead of having it take the impact if I land on my back.
Just my .02$