What module to charge the battery and power the arduino?

I have a home lithium battery 18650 with a value of 3.7V / 5200mAh. I need to charge the battery and then power it from Arduino 5V and maximum 2 - 2.5A due to SIM800L module, which takes up to 2A.

Is it possible to recommend modules that I want to use for backup power?

Thank you very much in advance for your help.