Choose a specific pruning goal
Point out which limbs block access, which are dead and where you want to keep shade. This gives the crew a more useful starting point than asking to thin the whole canopy.
Look at the tree and its surroundings
Tight branch angles, a cracked limb or recent soil movement are reasons to request an assessment. A tree that has recently shifted after heavy wind needs a different review from one that simply overhangs a driveway.
Ask about scope before work starts
Confirm which branches are in scope, how debris will be handled and what work might be deferred. Take photos from safe ground and ask for a written description of the planned work.