Think it through. To have a loaded firearm in your home you have to actually LOAD it and then PLACE it somewhere in your home. Obvious conclusion here is that at some point you will be carrying that loaded firearm within your home. Obvious conclusion is that if it's legal to have a loaded firearm in your home it is also legal to carry it in your home. However this is California and in that state basic logic doesn't seem to matter.

BTW, IMO if you have children in your home the ONLY safe place to have a loaded firearm is in a Holster that you are wearing. Quite simply no matter how well constructed your safe is children can display an amazing amount of patience an knowledge about dates important to their parents so one should never consider a safe to be adequate protection from a child resident in the home. The only way to keep children safe from mis-using firearms and causing harm is to train them properly and if they are too young to train keep firearms and ammunition SEPARATE unless you are in actual contact with that firearm 100% of the time. Note, this means that even a bedside safe shouldn't be considered safe, put the pistol in the safe and the ammo or magazine under your mattress.