Transition to crib

My son is 3 months old. He has been sleeping in the rock and play at night by our bed due to having some acid reflux issues. Now that he is going to day care he is needing to sleep in the crib/bassinet. His reflux has really improved so I’m not so worried about that but he really struggles to stay asleep in the crib/bassinet. He is almost too old to swaddle since he is starting to roll. Any tips on this transition or do I just start putting him in the crib/bassinet and wait for him to get used to it?