sagina subulata (irish moss). great idea - rather than worry about getting rid of moss, make it a feature! apparently the Japanese love mossy gardens and mosses are very beautiful when you look at them closely.
Gravel Stabilisation system - if the sub-layer can be porous concrete, then this would be an attractive and environmentally friendly solution for the parking area in the front garden. With hedges to front and side, underplanted with woodland plants.