If you both will work online then you each need your own DTV visas based on the workation category so 500k baht or equivalent each but there's nothing to say you can't touch that money. You should be able to get DTVs for your kids with only a sponsorship letter but it depends where you will apply. The other thing to be aware of that whatever consulate you choose to apply through you might have an issue with Wise as it is not a bank. If any of your kids are 20 or older they will need to apply in their own right and thus require their own 509k baht
5th December was a holiday as was the 10th. Day of submission normally doesn't count. So I make that only 9 working days so far. They state 10 working days so with luck you will hear today or tomorrow, but if they are busy it may take longer
Baxter Pondsmyth Yep. If you want to apply via HCMC you have to be physically in a location served by that consulate, not just Vietnam as the locations are divided amongst the 2 consulates there. Then you need to stay there until you have the visa. Alternatively you could possibly apply using the consulate for where you currently are and wait there for the visa
Basically because Thai consulates treat applications traditionally even though all communication and document transfer is electronic. They all require you to apply online from the physical location served by the consulate you want to apply through and they expect you to remain there until the process completes