The questions you will be asking the contractors should be covered by the engineers report. The engineer when finished will lay out the issues and any remedies , approximate costs included.
Every fix is different due to soil and terrain. I happen to know your area, I have family in Dundee and Ithaca. Your area around the Lakes contains Shale and sand. It is also pretty steep in some areas.
The bottom line is , talk to your engineer and have them explain and ask questions pertaining to solutions and problem areas. That's why you pay em the big bucks.
Then enjoy your glass of lemonade, and help out where the contractor is OK with it. Some guys charge more for "help" because if it makes them more work or causes delays, they get grumpy.
The key to knowing what you need to know is this....keep honest communication open, and lots of it.
Your already on the right track,
Good luck.