Moves does theoretically track that stuff, but it is not reliable enough. For example, walking quickly or being in a car often ends up being considered cycling for half a block.
On the other hand, if you turned on Runkeeper or Strava and say you're going for a run, that's probably 99% reliably what you actually did.
Also I think the page you want is the dashboard: https://gyrosco.pe/dashboard/ - we are working on building a more intuitive global nav so people don't get lost.