These electronics aren't exactly the cheapest options. First of all, your MAX745 charging module, but cheaper:

For even cheaper:

With regards to the power supply there are plenty of inexpensive 15V power adapter offers out there, for example:

https://www.aliexpress.com/item/High-Quality-AC-DC-15V-2A-Power-Adapter-Supply-Charger-15V-1-2A-adaptor-UK-UE/32767135327.html

Or brand name 19V laptop power supplies for cheaper than $17.59.

Reliability speaking, these electronic devices usually are very reliable. And do not mess with protected cells if using a BMS, that won't end up well. A BMS is a battery management system, this includes protection circuitry.

Cheers ^:)