tree looks to be in decent shape. NO need for a consulting arb IMO... You could probably do nothing and the tree would be fine for many years to come. My main concern would be BLS (bacterial leaf scorch). It's very common around here... Maybe not so where you are.. Check it out and get on a preventative maintenance program.
If any pruning were to be done, I'd use a bucket, on frozen or really dry ground or mats... make .5-1.5" reduction cuts, on the branch tips (the outer 1/4 length) of the upper-mid, mid and lower canopy, taking no more than 25% of the leaves from that outer 1/4 tips (no more than 5-7% of the entire tree). NO cuts on the interior other than broken/dead limbs, no cuts on the upright leads, and NO cuts on the lowest limbs that shade the trunk and root zone, especially on the south and west sides. So NO elevation except in cases where the lower limbs are showing signs of sheer cracks or other structural defects, in which case only reduction cuts to remove weight from branch tips as needed, hopefully leaving the lowest portions of the limbs for shade.
The reduction cuts that are made should be used to reduce weight on large heavy limbs. The main purpose for (reduction) pruning this tree is to prevent future loss of large limbs to storm damage, and the secondary purpose would be to allow enough light penetration to the lower limbs to keep them alive.
Before pruning though, I'd be concerned about soil compaction. Some air spading and soil remediation may be in order. Looks like a high traffic area.
Good luck with the tree..
ps... looks like the tree might have been lions tailed. The sprouts are undoubtedly the trees response to some type of improper pruning. For the most part its just better to let them be. Tree needs them whether we understand why or not! No need to even think about thinning them for another 5-10 years.
Gilman said "sprouts are your friend" four or five times at the penn del conference last week.
