With my first son, we had him in the cot straight away, but in out room. (I understand your room is too small). We put his cot into his room when he was exactly 3 months old and we never had a problem with him. He is not 15 months and is doing great.
We have an 8 day old baby too and he is in a bassinett in our room as we only have a 2 bedroom house. We chose to have him in with us because with him waking up ever 4 hours we didn't want this to upset our 15month old with all the wake up's in the night. We will wait until he is more settled before we think about putting him into the cot in his big brothers room.
Being your baby's mother you feel the need to be very close to your child, and that is completely normal. With putting your baby in there own room, don't be afraid. It is okay. Baby monitors are great, it makes a mother feel more secure that she can hear her baby is he/she is crying in the night.
Just be mindful with the bassinet, lots of parents have troubles getting there child out of the bassinet. As it is smaller than the cot a baby feels less secure being in such a big bed all alone. Maybe try letting your little one have one nap in the cot each day and slow introduce it. This may possibly help with you feeling more comfortable with leaving your baby in his/her own bedroom..
I hope I have helped you at least a little bit..