Broke up with my girlfriend

As the meme says, we've been together for about 9,5 years. There have been ups and downs, and given that we had a rather messy start, I think we did amazing.
However, between her anxiety and shitty past relationships, and my anxiety and shitty past relationships, it was sometimes hard to keep the romance up and running.
So when I adressed the subject a few months ago, she thought about it for a couple of weeks, and decided she'd rather not work on it anymore. To be fair, my insecurities have made it hard for her at times, and it has definitely put a damper on things. We agree that we did the best we could with what we had, but sometimes that just isn't enough.
Understandable and nothing to be angry or bitter about. Still sucks.
While we've decided that some distance is good right now, we still think of each other as friends and care a lot about each other, so at least that's something.

For the last few years it has been my main project to get her through school and try to build her confidence. And seeing her graduate and feel more selfworth has been amazing, Just sucks that I won't be there anymore to enjoy it.
But, I now get a lot more free time, which is nice. I'm spending more time with friends, and I can get back into some of my old hobbies again. I've even looked into adopting a dog, and hope to get that sorted in the next couple of months. I also have my own place, so I've got that going for me.
However, I'm no spring buck anymore. At this point I don't know if I should just give up dating altogether, work on myself for a bit and then try, or just dive in. I've been out of it for the better part of 10 years so I really have no idea how this works anymore. Like the penguin says, I'm 47 now, and I don't know if it's even possible to find a new life partner at this age. Any advice you can give is appreciated.

Just to be clear, neither of us consider the years we've had together as a loss. We've learned so much from each other, had so many wonderful experiences, and I've gotten to be (and still am) the stepdad of a wonderful little girl who is now 16 and not so little anymore. She was, and is, the star in my sky, and we're still going to keep doing stuff together on the regular.
It has absolutely been worth it, even though it ended.
But there is definitely a solid amount of grief there. I miss the movie nights on the couch, the trips we've had together, and just the everyday conversations.
It's hard to sleep at night, and when I do sleep it's only for few hours at the time. I try to keep busy, but my routine has been based around her and and the kid for so long, I'm not even sure how to do that anymore.
So while I agree that this is probably for the best, it still hurts really bad and probably will for a while.

Props to you if you've read this far. Not really sure what I'm looking for here, but I just felt like getting it out there.

FP Edit: Totally forgot to do an FP Edit. I won't ask for anything as I've already gotten so much love and encouragement from you guys. A couple of you even PM'd me and we've been chatting about relationships and anxiety and other stuff for the last couple of days. Thank you! I was uncertain about posting this, but it turned out way better than I could have hoped.

FP Edit: Totally forgot to do an FP Edit. I won't ask for anything as I've already gotten so much love and encouragement from you guys. A couple of you even PM'd me and we've been chatting about relationships and anxiety and other stuff for the last couple of days. Thank you! I was uncertain about posting this, but it turned out way better than I could have hoped.