I've always ended up having bubs sleep in bed with us for the first few weeks and they just kinda ended up in their own by about 6 weeks old.
I'm a really light sleeper so I find I get more sleep even if I have to get up to bub 3 times a night, though I do love to snuggle up to bub and just pop out a boob, it's the staying awake after the feed that irks me.
Start off by using the cot for day sleeps and then trying them in it at night time. Sometimes it wouldn't work but other times it did. Quite often too I'd start off the night with bub in the bed then move him out or vice versa.
Some have a cradle or hammock in the bedroom and love that instead of having bub in the bed.