If you go the Wikipedia page for California City, there is a temp and precipitation chart under "Climate." It looks quite temperate and dry with no winter freeze. Does that look like what you experience? When I plant bulbs in the ground, I water them in well and leave them, counting on winter precipitation to supplement that. If there isn't any, I might give them a drink no more than once a month, but I do have to water other things in the garden.
The bulbs have everything they need to grow roots and shoots and require very little additional water after the first drink. In pots, you want to be very careful, because before they develop roots, they aren't pulling water from the soil and that's when the bulb can rot. Once you see a little green emerge, then it's okay to start watering, but sparingly until they are mature.
Keep in mind that a ground frost isn't the same as a freeze, which penetrates the soil. Also, you might be in a micro-climate that differs from surrounding averages. Chilling in the refrigerator might be a good idea if you're borderline. Depends on the bulbs, too.