Combining Adafruit charger with the fuel gauge chip

Hi i am currently making a project to make my arduino portable. I have made a basic sensor circuit and have a bluetooth module in order to send the data. My goal is to have the battery charge, and then send the data such as charge capacity, current, voltage etc via bluetooth. I understand that there is a babysitter module, which will do both processes, charge and monitor the battery. However i have already bought the adafruit charger and would like to try to get these components working together. I was just wondering if anyone could go through how to wire this up with both the charger, fuel gauge and arduino uno. Also what code i would need.

Thank you in advance

https://www.adafruit.com/product/259

link to adafruit charger