What is the most logical next event?

How to care for a stray kitten
Be sure the kitten is actually abandoned.
Mother cats are not always able to stay with their kittens, they have to leave the kittens alone in order to find food for themselves. If you find one or more stray kitten, you need to be sure it has actually been abandoned by its mother before you take it inside.
Unfortunately the only way to know for sure if the kitten is abandoned is to wait and watch the kitten. You'll need to do this from a distance where the mother cat cannot see or smell you.