DHL is the reliable choice for international courier services as they are reliable, have good customer service, will come to you to pick up your parcel.  Prices for sending documents out of Russia in a hurry vary of course depending on where you send them but at least they will arrive in time. There are over 12 offices around Moscow including this DHL agency on Tverskaya, but bear in mind, it hardly matters where you are as they will come to you.