Most likely you need to look for a shipping company that provides such services in Singapore. I know that you can find Singapore movers on this online portal
https://www.wisemove.sg/ . You can quickly find all offers of a similar service in your area and compare the cost of this service from different companies. You can also understand from the rating on the site what is the reputation of the transport company among its customers. The rating is compiled on the basis of the assessments of real users of this portal.