You’re right that a sudden large intake of water is not good because it’ll take longer for the dry soil to absorb it. The soil basically becomes like cement and water will slip over it. This is usually how flash floods form along the canals where I live.
For the most part you’ll be fine. If you live in a house, check if your driveway slopes downward. Last October, my county got about 2” of rain in one afternoon. The rain reached up to our doorstep, but didn’t spill over inside; because of the slope pulling it back.
Also, the inspection report for my house stated that the driveway could handle up to 3” of rain. That gave me some reassurance. Having some sandbags ready would be a better idea.
Avoid rural roads, winding roads, roads or highways along the mountains, and roads with dips (they will flood). When driving, if the water seems too deep for comfort, turn around. I believe that anything higher than 6 in. will kill your engine.
At home, have a generator, flashlight, batteries, some nonperishable food, water, and weather radio with you if possible. Maybe pack a bag with clothes and important documents. This is usually how I calm myself down when earthquake swarms hit. Inspect your house for leaks.