I initially had the Boba wrap. Despite the amazing reviews on Amazon, I was not a big fan. I found it to be incredibly cumbersome to have to put the wrap around me (it's never as fast and easy as the instructional videos make it look) while my baby was being fussy and wanting to be held. Also, I was always a little nervous that if I did not tie the wrap just right around me that my baby would not be secure.
I switched over to the Baby Bjorn carrier, and my husband, baby, and I LOVE it. I highly recommend it. It's so much easier to use than the wrap, and I feel like it holds my baby much more securely to me than the wrap. Also, the wrap was much warmer to wear than the Baby Bjorn.