What is the most logical next event?

How to give newborn kittens away
Keep the newborn kittens with the mother.
If your cat has just given birth, she'll take care of the kittens. Provide plenty of food and a safe place so that she can look after her kittens.
The mother will also teach the kittens to toilet and socialize. Since they won't be eating solid foods, she'll nurse them in the early weeks.