nuzzle up (to someone or something)
1. Of an animal, to rub its nose against someone or something in an affectionate manner. I've never really liked being around dogs. Even when they're just nuzzling up to me, it makes me nervous.
2. To snuggle or cuddle (up to someone or something). When my daughter was a young girl, the only way she'd fall asleep was nuzzled up to her favorite teddy bear. Everyone makes a big deal about going out on Friday nights, but my girlfriend and I are usually happy just to nuzzle up on the couch with a good movie.