I think you don't want to change, which is understandable because most of us don't! Change is difficult, hard work and uncomfortable.
I honestly don’t think moving house will solve much for you atm; you’d just end up somewhere new without knowing anyone, whereas at least here you’ve got family nearby.
I read a study recently saying a high percentage of people find new partners online these days – so you could join some online groups for a start. Perhaps that's not getting the same in person contact that you need or wanted but I think it's a step in the right direction.
You just need to figure out what you’re really interested in – nobody else can do that bit for you. And once you do, there are loads of online groups, like book clubs, forums for hobbies etc that can keep you in touch with others outside of work.
You could also look into a bit of volunteer work, maybe at weekends, so you can get to know new people in person. It’s always easier to stay as you are, but look at what you’ve already achieved by losing two stone – that’s brilliant! Maybe take smaller steps next, rather than a huge drastic leap like moving house.
Little by little, you can shape your life into something you're happy with, but it won’t be sorted overnight with just one sweeping change.
Don’t forget to congratulate yourself for everything you’ve done so far – you should feel good about yourself, and you certainly don’t need a partner or kids to do that. You have a job, your own home, your dog, your family etc.
If you are looking for more in-person company, coach trips can be a fun, budget-friendly way to meet people. Lots of single people go on them, and they tend to be older but quite a friendly bunch.
Honestly, I think you’re on the right track already. Give yourself credit and take a bit of time to think about what you want out of this year. No need to set wild goals like moving – go for small, manageable steps instead. Good luck!