You could migrate from team foundation version control to git by using an open source tool called Git-TF. Migration will also transfer your existing history by converting tfs checkins to git commits.
To put your solution into Git by using Git-TF follow these steps:
Download Git-TF
You can download (and install) Git-TF from Codeplex: Git-TF @ Codeplex
Clone your TFVC solution
Launch powershell (win) and type the command
git-tf clone http://my.tfs.server.address:port/tfs/mycollection '$/myproject/mybranch/mysolution' --deep
The --deep switch is the keeyword to note as this tells Git-Tf to copy your checkin-history. You now have a local git repository in the folder from which you called your cloe command from.
Cleanup
Commit & Push
Complete your conversion by committing and pushing your local repository to your remote.
git add .
git commit -a -m "Coverted solution source control from TFVC to Git"
git remote add origin https://my.remote/project/repo.git
git push origin master