The edge 500 or 800, or the FR60 are the answers to the question you've asked. I'd recommend the Edge 500, but if you really really really don't care about GPS and don't mind a wrist watch, there is the FR60, which supports HR and cycling sensors as well as the running food pod. It makes the exact same 'fit' files that the edge 500/800 make and all the data can be uploaded to the web. Personally I use my FR60 only for running since I already had an edge 500 for the bike, plus the EDGE can display up to 8 realtime numbers at once rather than the 3 of the FR60.
Also, in a year from now when you come on here posting you now want to get a power meter for your ride, all of these will be ready to support it.