Most moving companies require that the customer waive rights against the mover except for intentional or grossly negligent acts. The customer is usually offered insurance to cover damage as an option.
That your mover is addressing anything at all is a miracle. Bottom line, however, is that this is a contractual issue and that if you are entitled to recover for damage to your property, and the mover refuses to make timely compensation, then your only option is to sue. Tennesse law provides a $15,000 small claims court jurisdictional maximum. This may cover all of your damages, which means that you could sue without hiring an attorney.
If you choose to go the attoney route, then for a civil litigation attorney referral, see: http://www.abanet.org/legalservices/lris/directory/main.cfm?id=TN and www.martindale.com.
Hope this helps.
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