My advice would be not to move.
You have a house that you own, and apart from that only a small fixed income. That does not, forgive me, sound like a safe financial background for selling your present home and buying something else.
So how about trying to widen your circle of friends and acquaintances where you are?
Have you considered joining a group that goes walking or cycling together, if your health permits this, joining a book club, taking up some form of voluntary work?
You didn't mention any of these activities, but perhaps you have already engaged in some of them.
If you like dogs, a small or medium sized dog will not need more exercise than is possible and benifical for people our age to supply. A dog supplies companionship and will often make it easier to talk to others when you are out walking, as dog owners tend to be only too happy to pass the time of day with other dog owners.
I would start by looking into where I could meet like-minded people of more or less my own age.
You have made a brave decision to start a new life, and I hope it will be possible and help you to not miss your family so much.