Essentially, the judge may order attorney's fees and reasonable costs in making or resisting an order to transfer the case to another courthouse. This will be based on a number of factors, and the court must first give notice.
With respect to ruining your furniture, if it was mishandled, you could argue that you are owed its market value (under negligence and conversion theory).
Further, you could argue that the moving company committed fraud in attempting to conceal a defect in its work.
The short answer is yes, but there is a clear limit as to how much can be earned for activities not for the organization's purpose. Please see my published article on this for more: http://www.rocketlawyer.com/article/non-profit-compliance-checklist.rl
I welcome you to contact me for more, or for legal representation.