Mostly Cyclemeter and Strava. Occasionally to save battery life on a long ride I'll use only Cyclemeter and later transfer the data to Strava.
Cyclemeter records only to the phone itself, unless the user chooses to store the data elsewhere. Mine is backed up to the cloud, and transferred to Strava since Strava shows data a little differently than Cyclemeter. Usually Strava shows me a bit slower, but it lets me compare routes with other riders in my area and explore new rides.