Freight shipping for furniture to Thailand

Four Poster Furnishings and Design is based out of Yangon, Burma. We have a client who just bought some pieces of furniture from us who is located in Lam Lu Ka, Thailand, which is right outside of Bangkok. I need to find a freight shipping company that can get the furniture they just purchased over to them. They bought seven pieces of furniture total. The order consists of two couches, three arm chairs, a dining room table and a buffet. All of these pieces will be wrapped and secured on pallets before shipping so I do not need your shipping company to supply this service. I do need, however, to find a freight shipping company that can guarantee its safe arrival by the ways of insurance on our goods. We have had some problems with shipping companies in the past delivering sub par quality furniture due to damage while being transported which is bad for business, not to mention our overhead.