Keep getting estimates and make sure the person/company you select is insured. Safety of your family/house/property is first priority; price is secondary.
The most I ever paid to have a tree taken down was $900 back in 1996; that was a huge 200+ year old oak tree in Connecticut; there were 2 garages very close to the tree - actually under the drip line; it was a really big job. The bottom part of the trunk was at least 10-12 feet in diameter.
Good luck.