wow, you had to get me started, theres a ton to know so i'll basically give you a basis on it. I have a manual i downloaded from somewhere and its on my pc so when i get time i'll look it up.
So heres the thing. the reason why its not commonly done, but doable, at home is because of the amount of sperm and eggs a clam can give off, around the millions or hundreds of millions, i'll double check that with my manual. The other thing is that the babies dont have a good success rate in a controlled environment such as the standard aquarium which is why there are clam farms around the coast and not local.
So there is basically a 2 week cycle to follow to get whats going to have the best success at surviving. First is getting the clams to breed, you can inbreed but the success rate is extremely low and not worth it because when stressing a clam to breed, it can sometimes kill them, which isnt exactly a bad thing which i'll explain in a bit. If you can get it to expel the eggs and sperm from multiple clams, you have have to have the sperm and eggs separated to get a count of the density. If there are too many sperm for the mount of eggs, the sperm will kill the egg by over fertilizing the egg. Polyspermia is what its called. The eggs are only good for 15min, so you have to be sort of fast and the sperm lasts for something like 1-2 hours.
Once you have done that, you have to get the fertilized eggs into a separate container, by which they will hatch, then remove the egg sacs and any unhatched eggs to prevent fowling the water. Then once thats done, on day one or two you can start feeding phytoplankton. Then you have get the zoanthelle to attach to the new babies..... This is where the clam comes in if its dead, you beat blend the clams mantle or scrape off the zoo and put it in the water, you'll know when the zoo has attached to the clam once their belly turns yellowish brown.
I'm drawing a blank after this part but you have to keep the water fresh, keep them well fed, get the zoo to attach, and pretty much wait out a couple weeks for the strong to survive.