I need a recommendation for a base layer.

I live in San Diego. I tend to feel cold a lot. I am a newbie biker. I need something to wear underneath my jersey to keep me warm in the mornings, but that won't be too hot when it gets a bit warmer, so of course I am thinking Smart Wool.

I also need a recommendation for some kind of light windbreaker that I would be able to take off and either put in my jersey pocket.

Thanks in advance.