Safety comes before cleanup
Keep people and pets away from the tree and any exposed or downed power lines, and don't attempt to cut or move a fallen tree yourself — trees can be under more tension than they appear, and a poorly planned cut can shift unpredictably.
Call your utility company first if lines are involved
If the tree is on or near a power line, contact the utility company before anyone approaches the area, even if a tree service is also on the way.
Document before anything is moved
Photos of the tree's position, any damage to structures, and the surrounding area are useful for insurance claims. Take these before cleanup begins if it's safe to do so.
Contact your insurance provider early
Most homeowner's policies cover tree removal when the tree has damaged a covered structure; coverage for a tree that fell without hitting anything varies by policy, so it's worth a quick call to confirm before assuming either way.
What a tree service should provide for your claim
Ask for a written scope of work and dated photos as part of the removal — most adjusters accept this kind of documentation without requiring a separate inspection, which speeds up the claims process.