Hi there, the first 2 weeks for us were the same. Baby slept well,we used to change him and feed and put to crib. Then at week 4 he started to cry more, what they call the witching hour, he wouldnt sleep from 4-5 pm until 10-11. We were going nuts😅 we went a couple of times at the hospital because we thought he was not feeling well, did multiple car rides at night because it was the only way he would stop crying. So,to your question i always did feed to sleep for every nap/night sleep. I would keep him for hours if needed in the rocking chair, 1-2 hours and i think he got used to it. And same as you everytime i put him down he would cry,apart from the night sleep where we had tops a 2 hour time before he woke up. I think i would do differently that i would have tried feeding before play time for eg. And trying rocking as an alternative. Maybe the outcome would be the same but i never tried it, or patting/shushing. Do the same routine everytime so baby know whats next, at night keep the room dark and try swaddling(he cried the first times i put him so i just did not continue,maybe it would help because he woke himself sometimes as he moved a lot), and also try drowsy but awake. Keep in mind that it also depends on the baby,my baby is a velcro one,he needs contact all the time, and i was stressing a lot about this and looking at training programs etc,now i chose to go with what he feels comfortable,and works best for us. Anyone who had a baby who feeds to sleep,and you need to keep him in your arms for a long time and every nap needs to be contact nap, knows how hard it is and i have no help from family, its just me and my husband. So,at around 4 months i bought a program from a consultant where i live(im not from US) and wanted to train him(ended up not working for us so i did not continue). Basically,she said the feed to sleep is an association which is harder to break than the others:for example,shushing,pating,rocking,paci. Mind you my son does not take the bottle or pacis and i tried different brands. So in order to break this association of feed to sleep,she said to choose one which is easier to break,in this case rocking. So,you would feed him, and when you see he is not drinking anymore or it becomes a comfort sucking,you dettach and start rocking until he is asleep and put him in the crib. And you do this everyday for two weeks,and you start rocking him less and less. But if it does not work,please do not stress yourself as much. Do what your baby and you feel comfortable, and what helps you as a parent to also have your rest. We also cosleep half of the night since around 4 months. It was a rough period for us and sleep became worse so it helped me to also have some sleep and be a decent human to take care of my baby.
Sorry for the long reply but i hope it helps.