You got your new carbon wheels and you want to make sure they last as long as possible. So do we!
The good news is that carbon rims can be relatively maintenance free and should last longer than alloy rims! With an alloy rim when you are braking you can slightly wear off pieces of the aluminum. Over the course of years of use, this can make it where the rim becomes concave and thinner on the brake track. Because carbon rims do not shed any material under braking conditions, the rims will last longer.
Note that you will want to change out your brake pads once they get to the indicator level. Completely worn out brakes will alloy the metal shoes of the brake caliper to contact the carbon rim, and this will be extremely bad for rim longevity!
For cleaning the carbon rims, simply use rubbing alcohol and a rag. Keeping the brake track clean and making sure the brake pads are free of any debris will ensure maximum longevity of the rims.