That is a great looking bike! I love "old school".
If it were mine, I would simply go over it like I used to when I was a kid; I would get my mom's steel wool pads out from under the kitchen sink & polish all the chrome on the bike.
Did a real nice job back then. Afterwards, rinse/dry it well & then maybe spray with some silicone spray/similar & rub in/dry off.
I'm sure there is a much more professional way to clean/polish the chrome, but if this is to be a "daily driver" bike I would just have at it with the SOS pads as mentioned.