I once was shipping used horbly davidsons to the UK and never took off a wheel. The added work did not make the savings worth the effort and inconvenience. You are supposed to remove all oils and gas but most shippers, (I dealt with 3 or 4) allow a minimum of gas, leave all oils in and disconnect the battery. I flew with my BMW once to the UK out of Canukistan and it was ride onto a metal plate, drain most of the gas, disconnect the battery and they did the rest. After arrival, ride off to the nearest petrol station.
I would do it all myself before paying someone else. Call the freight service of different airlines and ask them cost and details. If you cannot travel with the bike ask about temporary storage at the other end. You will find that the airlines all charge about the same but you might be able to bargain. I talked to one rider who got a really cheap rate when El Al began their freighter service from Amsterdam to New York and wanted to fill the hold. Depending on where you will fly out of you might check with Emerates, Qatar, and Singapore and any discount airlines and keep your destination airport choice open. If you are flying with the bike you will have more choices.
They all advise wrapping the bike and removing all valuables. I never did and I loaded lots of extra parts on the pallets (free from the HD dealers), such as extra motors, transmissions, etc. I never lost anything but suit yourself. I strapped the hogs with four straps and let it fly. Never had one fall over. All the guys at the different loading docks were interested in the bikes and were eager to help. I would show up with the bike and pallet separate in the truck or the bike already loaded and they would lift it out with a forklift. I was never charged extra money for anything, it is all in the freight cost which is calculated just like a UPS package, dimensions and weight. I have no idea what freight costs are now but if you are near an airport served by jets, not necessarily an international airport, and fly with the bike, this will be easy.