It's been a few months, so maybe you have already gotten the trees removed...
I recently had to get two large (2 foot diameter) trees removed that were leaning over my house and my neighbor's house. They were standing dead, on a hill where they couldn't get a bucket lift close to, and were in close proximity to other things around them. Some suggestions:
1. Get multiple quotes. I got two. One was for half the amount of the other guy. The guy I went with was no less professional or experienced, he just didn't have a lot of machines or a large crew to increase his cost. Different folks have different niches (large jobs, small jobs, road clearing, etc.), so they will quote you differently for your specific job. Some folks also might just have less business at the moment and need a quick job to fill a day.
2. If you are getting a stump ground, ask your tree guy if it would be cheaper to hire that out separately yourself. Some guys don't have a grinder, so they have to rent one which can be expensive, and that cost gets passed on to you. Some guys grind stumps for a living and own a machine, so they will do it for much cheaper. Your tree guy probably doesn't want to grind the stump if he has to deal with renting the equipment. He will just do it for you because that is what folks typically expect.
3. Don't pay the tree guy to remove the debris. We had ours buck it at 16" so that I could maneuver the 100+ pound pieces into an upright position. After the guys left, I spent a few days splitting the rounds into pieces I could carry and stacked them to dry for firewood. I burned a lot of the smaller stuff that couldn't be used for firewood. Having the felled trees removed would have doubled the price! You could also hire out the labor for cheaper after the fact. The guy who climbed our tree was getting paid $100 an hour. No way I would let him stay and move wood when I could hire someone to do that for $15.
4. Work with your tree guy's schedule. Let him do it on a Sunday, three months from now, in the evenings, whenever works best for him. If you say you need the trees removed ASAP or on a specific day that you'll be home, it'll cost more.
5. If possible, hire your tree guy for more work. I had the two trees that I needed taken down soon, but I also had two others that were going to need to be taken down within the next ten years probably. I went ahead and had those taken down as well. It increased the price, but having four trees done all at once is cheaper than having two done now and two done some time down the road. Remember that you're paying the tree guy to drive to and from your property as well.
In the end we had four large, dangerous trees taken down. The cheaper guy I went with was in the area when I called and he asked to come out in an hour and quote me (on a Friday evening after he finished another job). He looked at the trees and asked if it was alright for him to work on Sunday morning. He came out without his crew on Sunday and did the work himself along with a tree climber that he hired separately. The climber climbed the tree and cut it down 16" at a time while the other guy worked on everything on the ground (cutting up smaller stuff, sharpening/gassing tools, etc.). They did all four tree in about 8 hours.
If I remember correctly, it was $1400 for all four trees and then I paid $200 for a stump grinder to come and grind about 10 stumps that I had around my property. Still expensive, but the other quote I got was for $2800. Both are cheaper than the trees falling on my house or my neighbor's house.