Try to get it in your head that one of the main reasons one grows a JM in the landscape is its structural aesthetics. Sure the soft foliage is nice, and nice red color on cultivars like yours; but they really shine in the winter when that branch structure is showing or when pruned and thinned correctly that you can see it during the growing season. But thinning is a delicate process with JM as their bark can get sun scald if not properly protected.
You not only have a dense canopy but the interior has a lot of sucker growth, which is not desirable with a JM. Start with pruning out that interior growth, deadwood and crossing branches. Take it slow, and as you prune step back and observe your process. Don't do it all in one session if you want to be very conservative.
Or I repeat, hire someone that already knows how to do this.