It's a mix of white and pink, mostly white though. I also planted some creeping thyme and I keep a lot unmowed with some wildflowers. I have a decent sized lawn (little over 1/2 acre), but a good chunk of it is taken up by a septic system.
I still love the clover, and it helps keep the grass a bit more sane - but the length of the grass is my primary fight.
They stay within about 50 yards of wherever their 'home' hole is, so they won't run off (although their offspring may!).
You still need to mow about twice a year to get rid of plants the rabbits don't like to eat, which will otherwise grow into bushes.
Your biggest headache with rabbits is they'll eat other plants you might want (vegetables etc), and will dig burrows in random places. But in my opinion, both those are well worth it for having a lawn that mows itself.