BMS for Li-Po with balancing and protection
You should consider using off the shelf R/C batteries and charging equipment from a website such as hobbyking as the most straightforward route to your goal.

Li-ion and Li-poly are generic terms that don't convey the actual chemistry of the cell but are often used informally to differentiate 
 physically between cylindrical and pouched cells.

Many lithium types share the same charging voltage; so, as long as you aren't trying to charge very fast they can be used across various chemistry's. The aliexpress link you provided will likely work with your cells, just check the cell manufacturers charge voltage matches the protection PCBs.