Not in the center. Check (Hidden by Airbnb) maps.
From flat to Luzhniki stadium for FIFA World Champions (Phone number hidden by Airbnb) min by taxi for around (Phone number hidden by Airbnb) usd (depending on the traffic) and 1h35 min by transport.
From flat to Kremlin (center) - 40 minutes by taxi. Price will be around 15 usd.
Flat is not close to metro station - 15 min drive by public transport or by taxi for 5 usd max to metro station "Schelkovskaya".
Supermarket in the nearest building. Big park to walk is just in front of the house.