How to transfer baby to bassinet?

My son and I have been co-sleeping for about 3 weeks now (only reason i started is he doesnt like sawddles and his moro reflex starles him awake after 5-10 mins and i seem to be able to get more sleep when he's next to me. I would be only getting 30 mins here and there and with him sleeping next to me i grt anywhere from 1-2 hours after each wake/feed) but my husband and mother-in-law don't like it and have been pushing me to get him to sleep in a bassinet. We got a bedside bassinet today, and I'm so nervous to put him in here. We contact nap almost all day during the day because he doesn't like it when I put him down. He's also been in him screaming stage for 3 weeks when he's not sleeping. He's either very fussy or just screaming/crying. I really don't want to stop co-sleeping as I honestly love the closeness, but they keep pushing it, so I said I'd try. Anyone got any tips on transferring an almost 2 month old? He usually wakes up anywhere between 5-10 minutes sometimes shorter when I put him down.