Fishing the big flutter and casting spoons has become a popular way of catching great fish, but can be frustrating unless you really take the time to learn the technique. It's imperative to learn to determine a bite vs a stump. Unfortunately it's a skill learned and the spoon will get hung in the process. In fact, even the best spoon fishermen will hang a few in our stumpy lakes.
As you're first learning the technique, pick a spot that you know has a clean bottom, pitch the Big Dandy spoon out and watch the action as it flutters down and hits bottom. Take the hook off if you're in doubt. As you build your feel for the bait there, move into areas that may have some sparse grass like an outside line, or even some rocks if you have that type of structure. You'll likely catch a fish or two along the way if you have the hook on. Even without the hook, you'll see and feel the bite. From there, you can move into timbered areas and be fairly confident that you know how the spoon will act. Don't set the hook hard on anything until you feel confident you know what a bite looks and feels like.
Some people are tempted to cast the spoon way out there - don't do it! At least until you become proficient with it. Even if it's called a "Casting Spoon", don't do it! The big spoon is not a search bait and is used once you've located a wad of fish, so in most situations a simple pitch is adequate space to work with. I know some people fish them vertically. I'm not a believer in that and feel it does nothing except kill the action and twist line.
When you get hung, and you will, because you haven't set the hook hard you can usually use the weight of the spoon to shake it free by positioning directly over the stump. Most of the time that will work, but if not, move the boat to the opposite side from where you set the hook and again use the spoons' weight to help shake it off. Never pull hard - it will only drive the hook in deeper and drastically reduce your chances of ever seeing your pretty spoon again.
Some people are tempted to change to a single point hook on stumpy lakes. I don't believe it takes the place of learning the spoon well to begin with, but may be useful while learning the technique. If you choose to go to a single point hook, make sure whatever you use has a straight shank (not offset). If you're worried about impacting the action, don't. A heavy gauge spoon will flutter just fine. The trade-off is fewer boated fish, and because the hook still swings free, I don't believe it significantly reduces snags. Some advanced spoon fishermen actually add treble hooks by either adding one up at the line tie or making a stinger rig that trails behind the main hook.