Very little of the flavor gets carried over to the next brew. Lets say you have a pint of liquid left. When diluted in 40 pints, it is about 2.5%. I wouldn't worry about that.
Now if you added spices, they may still be there in the trub.
You can pitch directly on the cake. There is no need to wash.
I would recommend only using about a quarter of the cake. If you use the whole cake, it will not need to go through a reproduction stage, and the yeast working on the new beer will be old and stressed. Also, the reproduction phase creates some of the esters in the beer, which you will miss.
Basically, pour the cake into sanitized containers, and then just straight pitch (no starter) about a third to a quarter of the cake. If you don't want to brew immediately, it will keep in the fridge for a month.