What would you do?

I've been trying to make things work with my boyfriend after he cheated. I said to myself I'd stay six months and see how things work out, it's now a year later and things are meh.

We haven't had sex at all, no cuddling, no intimate moments, no dates. I basically cook him dinner everyday and that's it.

On top of that he does none of the child care (we have two kids and he cheated right after our second was born) and I pay more than my share of bills.

I'd decided that I want to leave but his grandad that he was very close with has just passed away. What do I do now? I don't want to pretend things are going great when they're not but I also can't break up with him straight after his granddad's died. I still care about him and don't want to hurt him but am done, there is nothing left in the relationship.