Only use a full cake if you're doing a very high gravity beer. For a normal beer it's too much.
The calculators say around 100g (or ml) of trub is enough for a typical 20L brew, so just put that amount in a sterilised jar and put it in the fridge ready for your next brew. When it's time to use it it will have well settled so just pour the surplus beer in the jar down the sink before pitching.
Keep trub from light beers for light beers, and the trub from stout etc for dark beers. This is for colour mainly, but also for flavour.
I don't wash yeast as I don't see the benefit, and it risks infection.
Don't mix cakes, as there's no need, and it also risks infection. As well as that it mixes the light beer/dark beer thing up.