The UPS Store #3732in Chapel Hill offers expert packing, shipping, printing, document finishing, a mailbox for all of your mail and packages, notary, shredding and even faxing - locally owned and operated and here to help. Stop by and visit today - Chapel Hill Shopping Center Near I-40. Next To Harris Teeter. The store is known for its excellent customer service from helpful and thoughtful staff. Customers praise the store's ability to deliver packages on time and with care, as well as its reliable Amazon return service. The staff is described as friendly, providing 5-star service and answering all queries satisfactorily. Customers trust the store to handle their shipments in perfect condition and appreciate the fast and reliable service.