Hey - just g/c from born in Jan

My son Cameron was exactly the same! He just point blank refused (in any position) his bed but would sleep on me without a seconds thought. It's completely exhausting! Anyway he's six weeks now and has no problem going down most of the time. I don't know if any of these will work for you but we started with the following tactics:
putting hot water bottle in the basket so it was warm when we tried to put him down (obvs don't leave it in there with them)
Putting a piece of warn clothing in the basket (so it smells llike mummy)
Carrying round his blanket with me so again it smelt like me
If i'm being honest, none of these worked amazingly well but did bring a little improvement. I think what worked best for us was to wake him up just a little before putting him down, (or putting him down fully awake but sleepy) and then sitting on a chair next to the basket with one hand holding one of his hands and having my other hand on his chest and gently rocking the basket (have rocking stand). This way he feels safe and close to you but also falls asleep in his bed so that if he wakes up he wont panic about not being on you. I used to sit there up to an hour trying to get him to go to sleep (marathon!!!!) but now takes less and less time, sometimes only 5 minutes now!
In terms of positions they say back is best but my mil said they used to say on their side is best!! I think sleeping on there front could be a bit dangerous but i think on the side is fine if he'll sleep like that!
good luck

xxx