yes, VKO is not the place to go as this is the most expensive airport for GA because of the demand (convenient drive from the city centre etc)
SVO is very busy, slotted and expensive too. A bit like LHR.
DME is ok... sort of.
UUMO - getting there by car is a challenge. You'll have to drive via some villages and country roads + most of the taxi drivers wouldn't know how to get there. The airport is not 24 hours as far as I know.
There is also Moscow Bykovo (BKA) - but it is not international.
all in all your trip to Moscow might turn up as a rather expensive hassle...
I would fly to St. Petersburg instead - really nice city, LED is not that expensive as Moscow airports, but rather busy as well and ATC there is might be your worst nightmares...
nice and rather cheap hotels and good food too...