The company is currently set up an an LLC involving a specific individual(s). If the company is sold, the new owner will decide how to structure the business. The "LLC" status does not convey to a new owner. The very best advice in this matter will ceom for the attorney who assisted you.
An LLC is a pass-thru entity. Income goes directly to the owner. Your company consists of physical assets (stuff) and intangibles (name, trademarks, customer lists, etc. ) You sell these separately report your gains/losses on your tax return, then disolve the LLC. The new owner then forms his own company.