Here is my best of list.
Regarding your pruning I would Cut at the red lines and keep the green lines. So on the left your cutting the thick branch in the background and keeping the thin branch in the forground. In addition you have to pay attention to active and dorment buds, those are the gree circles. When cutting you need to count out 2 or 3 active buds on a branch and cut above them. Nothing at all will regrow from your purple cuts.