A mother cat frequently carrying her kittens to different locations is likely an instinctive protective behavior. She may feel her original nest is unsafe or want to find a more secluded and secure place to protect her young. This behavior is normal and usually serves to prevent the kittens from being discovered and attacked by predators.
It is advisable to avoid frequent contact with the mother cat and kittens, especially in the first few weeks after giving birth. Too much disturbance may make the mother cat feel insecure, thus increasing the frequency of her moving.
