For those who are waiting like me for an app that will export any runs you do to 3rd party services, one has surfaced called "Pear Sports".
It's probably overkill for what I want, but essentially it let's you track a walk/run with your Series 2 Watch GPS (without needing to take your phone along) and then when finished you can export it to Strava, or various other services.
It's a subscription service but the first 30 days is free. Hopefully by then we'll have other free options.
I've done some comparison runs with my watch and compared them to my previous running Watch, a Garmin Vivoactive. Essentially neither of them are terribly accurate as far as GPS goes... the Apple Watch is probably a bit more so. When using the auto-pause feature, it seems to sense them quicker than my Garmin ever did, and also senses when you start running again quicker.
It's nice to be able to do runs with the Apple Watch but you need to manage your battery, eg if you did a run at the end of the day you might need to charge it up a bit before you run since the GPS can gobble battery quite a lot.