During that time of the year, the weather can be wonderful with sunny skies and temperatures in the low 70’s. Or it can be rainy with temps in the 50’s.
I’ve lived here over six years and just now bought a cashmere sweater. Cotton sweaters layered with T-shirt’s work very well the vast majority of the time. Unless you use the long underwear for pajamas, they are not needed. The heaviest coat I have is a lined rain coat. It has a zip in fleece liner that I’ve only used when traveling to colder climates in the winter. I can’t imagine needing fleece lined pants.
IMO you would be better off thinking of extra layers of cotton clothing that can be added or taken off as needed.
You will need rain gear more than wool items. I agree with a hooded rain coat rather than umbrella.
All this said - depending on your accommodations, you might need heavier clothing for inside than out. If you haven’t already, check to see what kind of heat your accommodations have. Using portable heaters is very common, especially in places that are older. If you are only staying in hotels, the heat should be more reliable.