It doesn't matter if you're on mobile or desktop, the save process is the same. Either use WebStorage to store your variables, or the save feature to store your entire game state.
Awesome! Thanks for such a quick response. I have my game prototype. I just didn't want to take the next step without having all my ducks in a row.
Does anyone recommend a certain type based on a game similar to the Angry Birds, Wheres My Water, Cut The Rope style levels?