For the most part, successfully playing TV requires you to take advantage of every way you can shatter Ice Lance, FoF procs being the main method. Frostbolt has a small chance to generate procs, but you can't rely on that alone.
Shatter is huge for TV. Make sure you look at the passive, and do some reading on how to take advantage of Shatter.
Frozen Orb is a great way to generate procs, even on single target. For AoE, Blizzard lowers the cooldown of Frozen Orb allowing you to get even more procs.
Water Jet and Freeze are pet abilities that let you generate FoF procs, but they can be a little tricky to use. Take a look at Kuni's guide (
stickied) for more info on those.
When you use a Brain Freeze proc on Flurry, you can also shatter a non-FoF Ice Lance if you cast it immediately after. Again, check the guide for info on that.
Also, any time an add is frozen, you can shatter an Ice Lance to extend your IV. It doesn't work well in raids, but is good to know while solo and in PvP.
Unfortunately, because TV hugely benefits from constant uptime, missing out on FoF procs will cause your IV to fall off much sooner. I don't PvP so I can't speak for that environment, but it seems like TV would be a poor choice in PvP. I think Comet Storm will be ok for you in that regard, but hopefully someone else with more experience will chime in about it.