Sign up with a brokerage account, there are many. interactive brokers is one of the cheapest (I'm not affiliated). Then, link your two bank accounts with the brokerage. Buy/Sell you currency then transfer the funds via wire/ach...
Seems awesome for personal uses (which I expect to be doing on a fairly regular basis). I persume this might make business tax compliance a bit more complex, but at some point it may be worthwhile for me in that realm as well.
