@rocknroll15 After the first couple of weeks.
I learned in my doula training like 10 years ago, before I came across any talk of the cuddle curl, that it's cosleeping best practice to sleep with baby's body up by your face. Makes sense to me-- my ears are right there next to baby (as opposed to when they're all the way down by mt boobs/torso) so I'm that much more sensitive to little movements and noises and respond sooner. If I were to roll towards baby, having baby by face is way way more likely to wake me up. Plus my face rolling onto them is obviously way less mass than my torso.
So yeah I either sleep on my side facing baby, or on my back. But baby is always up towards the top of the bed and I'm scooted down lower. Also makes it easier to keep low blankets far away from baby.
I very rarely sleep in the cuddle curl -- only if I fall asleep side lying nursing, and even then usually in the daytime with my husband supervising. It feels way more risky to me than having baby's body up next to my face.
I always sleep with a very firm pillow between my knees (really between my knees down to my ankles) whenever I sleep on my side.