It will be dependent on the amount of stuff you have to move, and each moving company will be a little different. A rough estimate based on size of your place will likely be done by sq footage, not rooms. If you want an estimate, give them your info. Better yet - call them. Most will come over to give you a more accurate estimate. They re gonna need to know your information eventually, so I don t really see the problem with giving it to them upfront.
You re better off giving them all the information and getting the estimate from the companies you re considering. You ll want to take a look at the CPUC website. Movers are regulated in California. Read the Maximum Rate Tariff 4 document on their site. It tells you the maximum they can charge for any particular service.