Hi!
While you can't order them directly, you can actually have the bins moved. However, this requires to forfeit the usage of one stockpile:
First, you need them to put the blocks initially into bins in the stockpile near the furnace.
Then, when you have as many bins as you wish to move, 'q' the stockpile near the furnace:
Deactivate blocks AND set bins accepted to 0.
Provided that there is space for the bins in any other block stockpiles, the bins as a whole will then be carried to the new stockpile.
Theoretically, you should be able to reset the furnace stockpile once the bins are marked for the other stockpile (when loo'k'ing at them, you should see the stockpile number of the target stockpile next to them), but I have not tested that. If you want to make sure, keep the furnace stockpile suspended until the bins are on their way.
The basic transport of complete bins has been confirmed by me as in my current fortress, I initially stored goods without an industry in the part of the fortress for my food stockpiles. Now, I have created my leather industry, and I successfully moved the leather bins I had purchased to the new stockpile, simply by setting the old stockpile to food.
However, make sure you set bins to 0! Otherwise, at least one bin will stay behind and its content will be moved manually!
Deathworks