Dont leave Git alone, your team need a workflow
Don't expected implementing Git will resolve all your problems. If your team members use Git as well, you will still have problems. Following, 4 Git workflows.
Centralized
Use only Master branch, maintain it clean as possible.
This workflow dont explores Git features, but is one option.
Feature Branch
Every featured is turned in a branch. When job is done, merge it with master.
Gitflow
My favorite. Create branchs for releases, features and bug fixies. Take a look:
There are other details here, i recommend you study this flow. If you use SourceTree, there is a button "Git Flow"
Forking
This flow require a team member make a pull request when your job is done and the repositorie owner decide between accept or not. Like GitHub works.
Leave a comment if you use other flow.
Original source: https://imasters.com.br/desenvolvimento/qatro-workflows-para-trabalhar-com-git/