Just connect your BlazeMeter account to TeamCity, configure a simple build step and you are good to go. You can configure TeamCity to run the BlazeMeter build step whenever you want, and the test will start with your pre-configured settings.
Sit back and wait for the results to appear. Check the 'reports' tab to see the results of the test, and view the 'logs' tab for a summary of the test's stability or failure.
Now with proxy support.
Get BlazeMeter's plugin for TeamCity (JetBrains):
Clone BlazeMeter's TeamCity plugin from GitHub and compile. Compilation instruction are available in the README file.
To learn more, check out BlazeMeter plugin to TeamCity (JetBrains).