For one thing, the transfer of real estate is a taxable event. For another thing, transferring title can trigger "due on sale" clauses of any underlying mortgages. It can also obligate you to satisfy (pay off) some types of liens against the property.
You should do this first thing Monday morning.
All the best,
My question is: the quit-claim was never recorded. Can I, at this date, go to the County Recorder in California and have it recorded?