Hi there,
My old cat (Who sadly went missing last year

) lived for many years with our Border collie and border collie X.
We had the advantage of having our cat first and getting our dogs from puppies; so the dogs learnt to live with our cat. If the puppies ever tried to play fight too hard then my cat would just smack them lol! It sure put them in their place and stopped them from bullying him when they were older.
In your case, I would guess that they will grow out of this behaviour when they realise the kitten isn't going any where lol.
Stacey xxx