Please, have a lawyer handle this claim for you. It sounds like a case where the question isn't whether the trucking company has to pay for your damages, it's just a case of how big a check they're going to write. An attorney can often earn their fee, and still leave you more money than you would be able to get dealing directly with the trucking company's insurance carrier.
I certainly hope you kept all the receipts for your expenses; organize all of that (and credit card statements showing the expenses, if that applies to you), your lawyer will need it.