Ringneck Dove - Baby Question?

I'm pretty sure my Ringneck doves mated earlier today. Just in case, I figured I'd ask a question that, to me, is important.

If I touch the baby dove(s) once hatched, will the parents reject them? I know a lot of bird species do this, but I'm not sure if domesticated doves would. The female, Raine, doesn't mind human contact and will fall asleep on my shoulder. The male, Keiko, was born and raised in a barn with no human contact before I bought him and therefore is afraid of people.

Also, at what age is it safe for me to handle the baby(s)? I'd like to handle it/them as much as safely possible while its/they're young so they don't end up like their poor daddy.

(I know Ringneck Doves lay 2 eggs at a time. I say "it/they" etc because I may replace one of the eggs with a wooden egg if they're fertile because I'm not sure if I want two babies and my mom thinks it'd be a smart decision since I don't want to rehome any babies that they hatch out. I only plan to let them hatch 1 or 2 babies max their entire lives, and will replace the fertile eggs with wooden eggs after that)