Check the side wall of your tire and see if you can spot M+S anywhere. If you do, your tires are rated for mud and snow and you should be fine.
Ive never dealt with chains before, always had 4x4's with studded tires, but i have seen plenty in my lifetime. Stick with cable chains, easier to put on/off and perform the same than links. If the rear is full of bags and stuff for a vacation, that would be plenty of weight for added traction. Make sure you always have atleast a half tank of gas while driving in the snow.
Most important thing about driving in the snow is: 4x4 and chains will get you moving but they cant stop you!! When driving on snow/ice; always slow down, take your time and think ahead.
Good luck, be safe and have fun in the mountains! :cheers: