Ours just slept in his carrier. HOWEVER--this is important. You need to establish ahead of time if you have a baby that will sleep in a stroller or carrier or whatever you hope to do. Both my sons LOVED a baby sling--in fact, in both cases, the slings became their "love objects" that they needed to sleep with for years. OTOH, I couldn't sell my daughters on a baby sling if my life depended on it. My kids go girl-boy-girl-boy. After Son #1, I had to buy a new sling, since he'd "stolen" it for his love object. Younger DD used it for a few weeks, then rejected it.
Along similar lines, my kids wouldn't sleep in a stroller. Ever. Not one of them, not once. Not that I'm bitter... Anyway, you want to practice this ahead of time, in case you face the same issue. In our case, we would have to go back to the room for an afternoon nap when we had a kid ~6 and under. I hope you have better luck than I did, but babies tend to have their own personalities and sleep patterns. Ignore that at your peril.