Moscow hotels list: http://www.moscow-hotels-russia.com. By the way, my favourite hotels are: Radisson, Katerina, Sretenka, Alrosa, Sheraton, Renaissance, Marriotts (all four), Best-Western, Marco Polo, Golden Ring and Kempinsky. Because they are girls-friendly.
On the links http://www.moscow-comfort.com and http://www.apartmentsmoscow.com you can book an apartment online.
Useful Moscow phone numbers: 01 - fire ambulance, 02 - polis, 03 - ambulance.
Trustworthy taxi services: +7(495)231-23-01, +7(495)940-88-88, +7(495)956-8-956
Kremlin tour and bus city tours with English speaking guide - http://www.capitaltours.ru , tel: +7(495)232-24-42 , +7(495)234-27-17.