my dd wouldn't sleep in the Moses basket, everytime I put her in it, she would wake. for a while she would sleep only on me, but she will now sleep in her chair.
It took a while, but I noticed she liked to nap about 11ish in the am and about 5ish in the pm. I put her in her chair and used to rock her and talk to her quietly and she would drift off, now as long as she can see me, she will drop off.
My SIL lent me a crib, and we did something similar for bedtime, but I do think it helped that she could see me when she was in her crib and I was in bed or by the side of the bed. If I leave the room - she howls, and tears appear
Had to move recently to the travel cot as she is now too big for the crib and the cot is too big for our room. I put her down awake but tired, and then I position myself so she can see me, I play the same tune every night, and then I stay with her until she is asleep. Now it only takes about 15 minutes.
However, because she is in the travel cot, she can't see us, so it is harder for us to get her back to sleep after her 4am feed, and we've now got into the bad habit of letting her stay in bed with us after a feed, because I know she'll sleep and then I can sleep. But tbh I love those nighttime cuddles, and I already miss the days when she would only go to sleep on me, so ever so often, we have a sofa day, where we spend the day cuddling and she sleeps on me.
sorry I've seemed to ramble for a bit - i'm sleepy
good luck