Propagation: Separating baby cactus from Mom

Do you know what flower color yours is bluewing? Pretty photo!!

 

No Blake, I don't for sure.

Unfortunatley, it's never flowered, most likely because the rooms it's in (living rooom) is too warm. The ones I was looking at online, and what mandarin suggested was that most of this spieces had yellow flowers.The only thing I have flowering right now that's yellow is a Euphorbia milii.

 

I've just today discovered that one of my 4 barrel cacti has 3 babies growing right up against it. The largest is golf ball size, the smallest the size of a walnut. They are spaced apart from each other. I'd like to know if the babies should be left alone, or if they should be transplanted. All of the barrel cacti are outside in a planter.