summer-pruning-mature-apple-tree

PurplePoppy

In our new house I have inherited a large, mature apple tree.  I have no idea where to start in terms of pruning it.  I see the new growth (long lateral shoots which haven't gone woody) at the very top (any recommendations of good, sturdy, but very high ladders for pruning?) and so far from what I've read, these bits are pretty straightforward in terms of how to prune.  However, there are a lot of woody bits (which don't look too healthy) but still have fruit.  When summer pruning a mature apple tree, does one leave the woody bits alone?  I was hoping to clear out some of the congestion to allow more light and air among the tree.

Thanks for your help!