So, I am not fully committed yet, but I believe the name of the minkees is going to be Minkles for the boy, and Minklets for the girl styles.
Thank you to all who participated and gave such great suggestions. There were so many of them I loved-miniminkys, cuddlepals, lovee doveys, minkinis, snuggle buddys, minky dinky, owl luv you, little love...that is why I am still waiting to announce the answer!
I just cannot decide because there were so many good ones.
Thank you again!