I understand how as a first time mom you can be extremely exhausted especially with the frequency and newness of breastfeeding. Additionally, I too wanted to know that my baby was o.k. at night. I think this is very normal especially for first time moms.
With my second child, I bought a bassinet (mini - cosleeper) and placed it next to the side of my bed. At nighttime, I would put my daughter to sleep in the bassinet. In this way, I could look at her whenever I wanted, but be sure that she was sleeping in a safe environment (as well as respond to her quickly when she awoke for night feedings). I move so much in my sleep that I could never be certain that I wouldn't hurt her if she were in my bed. In addition, I think that you sleep better knowing that the baby is safe.
During the daytime, I would put her down for naps to get her used to her crib. When the time was right (only you will know), I transitioned her to sleeping in her crib at night(for me this was around 8 weeks old).
I once read a book that said that before you start any routine with your baby, make sure that this is something that you are willing to continue for the long haul. It doesn't take long for babies to get used to routines, but it can take much longer to change them. In other words, you may really enjoy having your 10 day old sleep on your chest (I assume that the baby now weighs less than 10 lbs), but as your baby gets older and heavier and more alert, you may not be very happy with this position. In the long run, you will likely be happier if you get the baby used to the idea that the crib is where he/she sleeps. In addition, at a very young age (less than 3 months of age), babies tend to accept change a bit easier. The older that the baby gets, the harder it is to change the routine.
I hope that this advice helps. Parenting is very personal and by no means do I mean to suggest that there is one way of doing things ... However, this way has worked for me and both of my children are now excellent sleepers in their own cribs in their own rooms.