How do I use TOAD for SQL Server with SSDT database projects?

We have a substantial amount of work on a database project that is managed within SQL Server Data Tools (under VS2015), and stored in TFS. When I look to see how TOAD can use TFS, it appears to start from the standpoint of the database, leaving our changeset history orphaned if we switch over to TOAD.

I am a TOAD newbie, so I realize I am not speaking the right language, but I would appreciate any pointers on how to accomplish this. Is there a way to have TOAD side-by-side with VS2015, so that both can reference the same TFS objects, or am I looking at a cut-over project?

Thank you, Kevin