I am not sure on the transferring
Yeah if he won't go for it then there isn't much put pushing for it. When mine was older and accepted it I would tell him (whilst he was sleeping) that I was going to pick him up and he was to stay asleep and I talked him right through is soft tones "everything is okay, it's mummy, I'm taking you to bed, stay asleep..." and continue pretty much the whole way to his bed ending with "here's your bed now, go to sleep, call if you need me" and then leave him. He did stir and was likely half awake but he stayed floppy and snuggly and barely made a noise and then settled into his bed for the rest of the nap. No way could I do that in the early months though!
Hey any thoughts/ideas on PU/PD when your baby is still swaddled? Do you keep them swaddled while doing PU/PD or just have the wrap ready to go in the bed and swaddle them when they're drifting off to sleep?
Sorry I'm not sure I understand the question and I am also not all that up on all aspects of PUPD. I wouldn't suggest it for a 4 month old though, it's a method of last resort, best to use shush/pat or adapted for most training really.
If you'd like to ask this as a new thread as it is a different question you might get a better answer

Sorry to hear you are not well. Get better x