pruning neglected apple tree

I'm in Washington state, zone 8b
I moved in this summer, and my neighbor informed me I have an apple tree on the property. Found it, and it has produced a really tasty and abundant crop - I think they are Granny Smith. Smaller than what you see in the store, but solid, juicy, worm-free. Problem is the tree is lanky and has been neglected for years (confirmed by the neighbor). Top branches are over 15 feet, many branches bent to the ground, the trunk is tipped at perhaps a 30 degree slant off vertical. Best recommendations for caring for this? I'd like to keep it because it produced yummy apples.

There are two other trees in the area that did not produce any fruit but look like apple trees. Do I cut them down and plant new ones?

 

Look online for how to prune an apple tree. Also pay attention to the best time of year to prune.

As for the other trees your first task is to identify what they are. Are they apple trees or not? If so, they may be there for pollination.

 

Spend the $$ and find an experienced gardener/landscaper/arborist to visit and prune the tree and advise what are the other two. Also, take small branch (or pics) of the two trees to a local (not big box) nursery. Best time to prune is after a good cold snap but before tree leafs out. Maybe December thru March ?

 

thank you YaddaYadda. Very good advice. The poor trees are more neglected than I can probably manage.