There are lots of flying clubs around Moscow, but prices of both aircraft rental and avgas are very high, and you can't just take a plane and fly wherever you want. For all flights outside ATZ, whether VFR or IFR, you have to file a flight plan (usually 24 hours in advance, potentially more). On the other hand, virtually every club has at least one Yak-52, and lessons in aerobatics will probably cost you
less than in the UK.
My home base in Russia is in St. Petersburg, so I have very little information about Moscow. The best place to ask would be at
www.aviaforum.ru, which has a dedicated section for English speakers.