Where Do Babies Go?

Since my sister-in-law called to announce that my 2yr old (barely) nephew had accepted Jesus as his personal savior, and the Pope says (the) Limbo is a bad idea, I was wondering where do you gals and guys think babies go? At what point do you think they start going? Just for kicks you could also mention your thoughts on baptism vs. dedication (or whatever your church does).

I choose to think God's grace is big enough for babies. A good arguement might convience me they cease to exist. If there is a baby hell I am sure it is a lake of poopie diapers, and not fire.