I stick all my rides on Strava, as a simple record of everything. Garmin Connect is much harder to view in discreet timescales...
Strava also does a nice heat map showing where you ride... mine (below) shows how I get around...
Strava allows photo uploads too, which is a great feature. I see places all over the globe, and it's fun to browse.
I don't look at segment times except very occasionally comparing my own repeat times on sections of Audaxes that I've done more than once, and I tend to look at segments over 20 minutes... you can exclude everyone else if you like...
I'm pretty sure most Strava users who ride Audaxes ignore segments too, based on comments I have read on hundreds of different rides, however non-Strava users would not realise that, so may get a wrong impression.
Gradually I have built up a group of followers, who are interested in what I'm doing, and who leave kudos and encouraging comments.
They are scattered over the globe, including USA, Australia and Europe, but mainly U.K.
Many of them don't ride the distances I do - often it's commutes and slightly more adventurous weekend rides - so mad Audax capers appeal to them. There are also many members of the audax community who meet me on a ride in 'Timbuktu' and we get along, and then we keep an eye on each other, to our mutual benefit I would hope.
I get questions occasionally- a recent one was 'how you you stay awake for a 600?' and I explained my strategy whilst trying to emphasise that we are all different, so what works for me, might not work for another...
When you get nice comments saying your rides are mad / mega / amazing etc it's a wonderful motivational tool, and it gets me out on the next ride....
For me it's also a bit of social networking and keeps me in contact with other riders I've met on the road.
I've been first back and also last. In the early days as I recovered from my bad accident my confidence was extremely poor, and my social skills were almost nonexistent. That's why I got a reputation for bouncing controls. I had to actually relearn how to talk to people, and initially I had a range of stock responses that I learned in advance and then used over and over. Many of you have no doubt heard them. I was on painkillers and antidepressants, and I probably boasted occasionally, but that was a symptom of my brain injury, and I hope you'll forgive me. As I've matured in this audax world I've learned to 'smell the roses'... and let's not forget that the idea is to ENJOY your ride, whatever that means to you...