We moved from US to CM in late 2020 and shipped a 20' container of household goods. We had two bedroom sets each with 4 pieces and there was absolutely no problem through customs. The custom regulations that I read did limit things like TV's and other electronics to one for a single person or two per family.
We used International Sea & Air Shipping to organize the container packing, transport to closest sea port, container rental, container space on ship, customs clearance and final delivery to rental home in CM. We packed all our goods in moving boxes and furniture was wrapped in moving blankets secured with poly strapping.
We did have several conversations with the Thai customs agent. I was somewhat skeptical after talking to them about some details. In the end we paid duty on only a few items that were not considered "household" goods. An aluminium ladder, 1 of 2 bicycles(?) and a tool box full of general tools like wrenches, hammers, screwdrivers, etc. I think our customs bill was 1200 ฿. Our inventory was not that detailed but was acceptable. The customs broker was Boonma with offices in CM and Bangkok and probably Lam Chabang as well.
DM me if you need more details/advice.