Answer: I think I'd tackle all the problems at once. First, reset the trees and stake them if the area is windy. Then remove the bird's nest. The branches may right themselves. Pruning may leave a bare area so let's hope the branches straighten back out. The problems with the interior are probably associated with spider mites, a common pest of evergreens. The webbing is a tell-tale sign, as are dead and dying foliage. Apply a miticide, according to label directions. Brown tips could indicate winter damage, or excessive water or fertilizer. I'd leave them to see where new growth begins, then I'd prune away the dead parts to make room for healthy new growth. You may be surprised how resilient Tiny Towers can be, so don't prune unless the plant part is dead and you see new growth emerging behind it. At that time you can carefully prune away the dead stems and foliage.
Best wishes with your landscape!
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