Korean Air SkyTeam awards are now bookable online. See my full take here.
Someone at Korean Air either wants to alert customers or had a good sense of humor, because when you search London flights you get a cryptic pop-up warning that you are about to be ripped off:
Airport Advisory: UK-GBtax-info-award
On Kenya Airways London-Nairobi, in economy, you get hit for $297.42 ($104.50 carrier-imposed fees (junk charges aka fuel surcharges) and $192.92 in taxes, fees and charges).