Newborns like movement while they sleep bc it reminds them of the womb. Try a glider.

My son didn't sleep in his own bed until he was 8 months old. He slept in bed with me and it was so comforting having him right there instead of down the hall. :)

It's a totally normal instinct for the baby to want to be near it's mother when they're sleeping. I bought a Arms Reach Cosleeper and my baby has been sleeping through the night since. I hope you've had better luck in the last few weeks!

my daughter started sleeping in her toddler bed at age 3

No, she needs you right now. This world s unfamiliar to her and you're the only scent she knows so the only way she feels safe and calm in when she's with you. I slept with my baby cuddled next to me every night until he turned 2 months