Altough not connected to the internet yet, the NuMetrex Heart Rate Monitor apparel would be a perfect application to send the data to the cloud and could easily be combined with one of the exercise monitoring apps on your phone.
From their site:
"Special sensors in fabric.Special sensors are knit into the fabric of our seamless athletic apparel. The textile sensors maintain contact with the body, sensing the wearer’s heart rate and relaying it to a tiny transmitter.
The transmitter is snapped into a pocket in the front of the garment. It captures the heart rate data and transmits it to a heart rate monitor watch.
The heart rate monitor watch instantly displays the heart rate for the wearer to see."