How to share the same Resharper settings between multiple solutions, with no manual intervention?

Resharper supports option layering.

You would use it like this:

1. Have one DotSettings file with all your settings in it.
2. For each solution perform these steps:
   1. ReSharper -> Manage Options
   2. Right-click “Solution ‘Your Solution’ team-shared”
   3. Select Add Layer -> Open Settings File
   4. Choose the central DotSettings file

This would create a DotSettings file for each solution. You need to check these into TFS along with the central DotSettings file.
Important: The DotSettings file of the solutions only contain a link to the central one, they don’t replicate the settings.