Great topic.
I'm not currently growing sprouts as most of the food growing in my suburban back yard gets tossed into the compost pile during the summer months. The summer output far exceeds my demands.
In the winter months sprouting provides a fast easy way of providing "fresh, nutritious" food. Any seed that will grow in soil can be sprouted.
Grains, legumes and vegetables are all fair game.
Basically it's like starting seeds for a garden, but you use mason jars and water rather than pots, soil and water. Keep the seeds moist but not saturated until they sprout. I first used plastic lids manufactured just for this. Now any non- toxic screen that can be secured over the top of a mason jar is fair game. I haven't tried old nylon hose..but I bet they would work.
Radish sprouts added to a salad are killer!