You'd be fine, I imagine. Total Warhammer is streamlined, but in all the right ways. Each faction has its own unique playstyle with the core mechanics all there to some degree; it's really a matter of choosing which one you like the most. And don't worry too much about getting all the DLCs for the "complete experience" or anything--the patches have added them into the campaign in a way that, unless you're planning to use Chaos, or Beastmen, or the mercenary units, you're better off skipping the DLCs. (The factions are good stuff, though.)
Like, Total Warhammer is far and away my favourite Total War game. I'd highly recommend it over the others. (Granted, I haven't played the post-Empire TWs. Mostly dabbled with Medieval 2 and Shogun 2. But still.)
Let there be waaagh!