I would suggest a GoPro if you're just looking for an easy to carry around, versatile camera. I rock a Hero 4 Silver attached to a feiyu-tech g4 gimbal and the shots I get from that are clean. But if you want more of a DSLR style camera, a Canon t5i would get your feet wet in that discipline; more flexibility if you're looking to have more control over your shoots/easier to add external devices (Microphones, Lighting). I owned a t5i before upgrading to an 80D and each of which I have done shots in the snow/rain, just don't leave them out to soak and keep ports closed and you will be fine as far as that is concerned. Hero 5's are water resistant and you can get a water resistant gimbal to match it as well if you are really concerned about water damage.