Google has recently sunset the Fitbit app and all Fitbits are now managed through the Google Health app. This is great news as MoveSquad directly supports syncing with Google Health.
To connect to Google Health, navigate to the Profile tab in the app. Once there, tap the settings icon in the top right of the screen. Once you are on the Settings page in the app, choose Data Sources. You can then tap the Google Health (Fitbit) option to login to your Google account.
Be sure to grant the app access to all requested data to ensure everything syncs correctly.