Grimgrin enters tapped and doesn't untap during your untap step.
Sacrifice another creature: Untap Grimgrin and put a +1/+1 counter on it.
Whenever Grimgrin attacks, destroy target creature defending player controls, then put a +1/+1 counter on Grimgrin.
(22/09/2011)
If the targeted creature is an illegal target by the time Grimgrin's last ability resolves, the entire ability doesn't resolve and none of its effects will occur. You won't put a +1/+1 counter on Grimgrin.
(22/09/2011)
If the defending player controls no creatures when Grimgrin attacks, the last ability will be removed from the stack and have no effect.
(01/07/2013)
If Grimgrin's last ability resolves, but the targeted creature isn't destroyed (perhaps because it regenerated or has indestructible), you'll still put a +1/+1 on Grimgrin.
