I switched to a woven wrap after LO outgrew the moby. I really liked wrapping and knew that I wanted to continue on.

Pros:
Happy baby!
Secure
Supportive
Easy to nurse
No adjusting the size to fit mom/dad
Fits in diaperbag
Gorgeous color options

Cons:
Learning curve to wrapping
Potential cost - A larger wrap with work for all carries but if you want a 'shortie' wrap for quick hip carries you'll need another wrap.