How near (decades or centuries)?

I thought EY and folk were estimating within decades. It's going to take at least 25 years for me to find a mate, produce a baby, and raise that baby to adulthood.

Which singularity (good or bad)?

Either. A negative singularity kills all of us, including the children. A positive singularity would give us that all of the previous accomplishments will be trivial by comparison . If you told me that in 20 years I'd either be shot dead or given a billion dollars, I wouldn't save for retirement.

Irrelevant to whom (us or the potential child)?

Us.