Greetings Eli and welcome to the Dark Side: it is your destiny (or density) and we have the best cookies.
I think you have received pretty good advice from the forum. I usually run at the gym where they don't even allow cell phones, much less firearms. I live in a pretty good neighborhood, but still carry at least my Ruger LCP when walking the dog with my wife and / or kids due to a couple nasty run-ins with very aggressive dogs that owners seem to have little to no control over. My black lab was nearly killed early this year by a pit-bull mix just because we walked by her house. She broke her leash and had my dog by the head in a blur. That said, it never crossed my mind to break up a fight between dogs with my gun, even if one of the dogs was my own. The gun is in case one of these animals goes after my daughter instead of my dog.
This all said Eli, what would you have done differently in your scenario had you been carrying? Sprinting behind that car for a quick get-away may have not been your only hope, as it was when you were unarmed, but it still could have been your best hope even if you happened to be well-heeled. If you have an opportunity to safely disengage without a firefight and frankly, run away, you've won I think.
Whatever weapon you choose, pick up a copy of Massad Ayoob's book "In Gravest Extreme" off of Amazon to go along with it. Though it was originally published in 1980, Massad's book is still very relevant and parts of it address what will happen to you should you ever need to finish a confrontation between you and a bad guy with your firearm. You'll be alive, which is a big upside (!), but even in cases of clear self defense your life will become very complicated and possibly expensive for quite some time, as Mas outlines.
For example, I had a buddy who is an LEO in my city over to my house for cold ones and a Rockies game on TV this past summer. While shooting the bull, I recalled a instance where only blocks from my house I came accross a mule deer buck just struck by a pickup. The truck was a bloody mess, grille crumpled and splattered, radiator hissing. The buck was still alive, somehow, weakly kicking around. I drove around and off as my kids were with me, but in our bull session I speculated aloud to my buddy if I should have stopped and placed a merciful round behind that buck's ear. Bob looked at me like I was crazy and just said, "Dude..... Felony!" Moral: Not saying you shouldn't carry, just be aware the CCW isn't some kind of pass.