"Protected" cells have a circuit which switches off the external terminal if the voltage gets too high or too low.
If you are trying to charge series cells, that's
not what you need, as switching off any one kills the charge current through both/all.
The weakest or nearest full cell will reach full voltage, cut out, and prevent any other cell from charging.
Cells with internal protection are only really suitable for individual use in a stand-alone charger, where cells do not affect each other.
For what you want to do, you need a "balance charge" circuit that monitors and regulates the voltage on each individual cell.
You could use a board such as this that incorporates a high-current balance circuit (70mA) and cell voltage protection.
You do not then need "protected" cells.
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You still also need a current limited and voltage regulated (8.2 - 8.4V) supply for charging.
Note that there are three types of board sold as "BMS" units on ebay.
Voltage protection only (like the internal circuits in protected cells);
charge balance control with with various balance currents - often very low, and
combined voltage protection and balance.
One of the third type with a relatively high balance current rating, 50mA or higher, is the best and simplest option.
You can otherwise use a voltage protection board and a separate balance board or external balance charger.