Ok bees, lay your advice on me!

My daughter started daycare yesterday after being in grandma care. She's still with one grandma two days a week, and then home with me for one day. So she'll be in daycare two days a week.

She naps in a crib at home and a Pack n' Play at her grandparents' houses. At daycare, they nap on cots. She has a little Dora the Explorer nap mat. At home, after lunch I tell her it's time for a nap, rock her a little, and put her in her crib. She rolls around and gets comfy, but usually falls asleep within 5 minutes or so.

I warned daycare she was used to her crib so I think she'll need some adjustment time. She didn't nap at all yesterday and eventually they took her to the administrative office with her cot and everything. She just sat on the cot and looked at books and played with the sweet receptionist.

Will she just figure this out on her own? Daycare said they'll just keep trying with rocking her and rubbing her back. Any advice? What worked for your kiddos on transitioning from crib sleep to daycare cot naps?