I no longer use a HRM because I never found that they did anything for me and I prefer to just ride my bike and not worry about it. But I can say that I have a Garmin Edge 500 which works great with the Bontrager Duotrap, and I could have gotten a HRM to go with it if I wanted one. And I'm pretty sure you can upload the data from the Garmin to Strava. I personally only upload it to Garmin Connect.

You might find some helpful information in DC Rainmaker's reviews.

http://www.dcrainmaker.com/