I'm not sure how much of a benchmark this can be....
4 years ago we moved about 10k from our previous 4b/3b house to our own 3b/3b house....We moved a full household of teak furniture, all appliances, electronics, plus many large potted outside plants & trees....
It was a crew of 4 + a large truck, a local referral.....The cost was 5k฿ & everything was moved with care with no mishaps or loss....
I at first tried a THE local large scale removal company (__ __ removal) & they weren't interested - they seemed to only want the big payday of international or long haul move....
If you can, Thai to Thai contacts will help find what you need.....
It sounds as if a regular passenger sized van or songteau would be big enough for your stuff ...