I am not an expert, but I would be inclined to give it a crown clean, lightly reduce the lateral aspect (to growth points of course) being mindful of direction of future growth; put a layer of mulch (about 4" deep), and not worry if it does not produce fruit the next year, but wait until the second year with my fingers crossed. Did you say there are other Pear trees nearby, for pollination? Are there bees around to pollinate? If not, I would pollinate it myself. The same with the apple trees. After the first summer, I would do some more light pruning- crown clean, a light thin if regrowth was quite busy- if the tree responded well to the first pruning.
I enjoy pruning fruit trees. We have a number of Pear, and Apple trees- one of which might be a Bramley. I bit the bullet last year and removed quite a bit of its crown, as it is growing in a place where the light obliges it to grow mainly on one side, and the branches on the other half were almost bent in half trying to reach the light and presented with quite a bit of cracking, further encouraged by the weight of the apples. Poor tree looked quite unsightly after my brutality, but, to my joy, she put on quite a bit of growth and has produced plenty of delicious fruit this year, large good looking apples. I made an apple cobbler last week that was scrumptious.
We have a very old Apple at the front with a large hollow in the main stem; it was severely topped at some point (long before we moved in) so has a fairly small crown considering its girth. Every year, she produces hundreds of Apples. I thought last year's crop would perhaps be her swansong, but, lo and behold, she is laden this year. I tend to target prune it lighty so we can pass under it, and remove any dead wood, other than that I do not touch it. It is a charming tree