Just an honest, open question. I have an idea of like to have for a hat. However, knowing how to go about getting the correct file formats or knowing the cost of what is asked for in advance seems like a foreign language. Much less if there are design corrections back and forth. I’ve dealt with organizational offices doing similar, but never anything private. Is that even a thing?
To my knowledge, it’s customary for artists to charge based on how much work is involved. So, they’ll calculate a wage for themselves and multiply it by the hours of work + material cost. Usually, that wage is relatively low, i.e. close to minimum wage, if your country has that.
So, you can try to roughly estimate based on that. You’ll probably forget some of the work needed to actually create it, but at the same time, artists are usually also quite quick at their craft.
However, you can also ask for a rough estimate upfront. It’s not going to be that artist’s first rodeo, they’ll probably have a pretty good guess, and they understand that people do care about the price.
And if something unforeseen happens, which means significantly more work is required to make your idea happen, then they’d hopefully also inform you about that and offer you cheaper alternatives.
Having said all that, if you are getting art made, then it is a good idea to have money to spare, even just for your personal finances.