I would feel more comfortable reducing my rent then compromising my criteria.Do you allow smoking?

Does that sound like a good compromise?

We are living in inflationary times, and despite that we try to create business efficiencies that do not compromise our maintenance schedules or overall service to you, our residents.

Right now MF has gone crazy everywhere it seems; makes it harder to get your target price-but don't compromise there is always a deal around the corner.

Explain to your better half that holding on to this house will pay off in the long run, start compromising on location and amenities, and take those commission checks and start saving.

That shows you are compromising. 

One bad contractor can compromise an entire project.

I had a similar issue with my client and that was the compromise.

She went on to tell me that the Aunt who passed away, did not have any children but did have 9 other heirs to the property compromised of nieces and nephews.I went on to ask her if she had any idea how much the property might be worth.  

As a compromise, you might suggest that the estimate seems high and request two more bids (one from a company selected by you and one from a company agreed upon by both parties).