First off (I just went through this with my new truck) check your manual to see what chains you can use and if you can use them on both axles or not. Many newer vehicles have limited clearance and require "S" type chains.
Examples:
My 2014 4Runner can take larger chains, but only in the back as per the manual (clearance issues up front and guys have lost their brake lines). That said, I bought the diamond pattern "S" chains for it from tirechains.com and they're great. Super easy to put on.
On my 2016 F-150, I had to sign a "tire chain disclaimer" regarding voiding the warranty if I use chains. After much research, I found apparently dealers make everyone sign that, but it only, as per the manual, applies to certain size tires. My tires can use the "S" chains, and I bought the same ones I have for my 4Runner for the truck (after semi-fitting the 4Runner chains (4Runner has wider tires) on the truck and checking clearance (there was lots on the back tires)).
Tirechains.com has a pretty good table for what chain designs work best in what conditions. Some guys here were talking about autosocks, which are supposed to be good on ice.