curl up with (someone or something)
1. To snuggle with someone or something. My daughter can't sleep unless she's curled up with her teddy bear. The puppies curled up with their mother in the bed.
2. To make oneself cozy and comfortable with something, often a book. A cold, rainy night like this just makes me want to stay home and curl up with a good book.
curl up with (someone or an animal)
to snuggle up to someone or something. She curled up with her husband and fell asleep. Elaine curled up with the family dog to keep warm.