Pond Boss Forums INTRO Questions & Observations trout stocking

Was just wondering if I would stock trout in my lake, what would they eat. Have way too many bullheads in the 6 to 12 inch size. Would trout eat them or would they eat the panfish type of fish? Some 6 and 7 lb bass have been caught, also when you can find them 10 to 12 inch bluegill. Cappie have had some caught at 2 lbs but 95% are 6 to 8 inches. But they don't seem to be keeping up with the bullhead pop. If the trout would clean up all the little bullheads maybe the bass would work on the larger ones.
Also have common carp, would they eat the fry in the spring before they would die? The lake is too big to start over. The goal for the lake is to just catch fish that bend the rod good and eating size crappie. Grandkids don't like taking bullheads off their lines, so I spend all my time taking fish off and not being able to watch them fish.
I know carp are bad but was thinking of putting up a few feeders with corn to attract them to one area to make them easier to catch. A ten year old catching 5 to 15 lb carp on a 4 foot spiderman pole, would make great memories. Would feeding the carp actually be bad, do to them getting bigger and producing more eggs?
If anyone has an idea that worked for them, I sure would like to here about it. Was always told the bass would clean the bullhead up, but just not happening right now. Also I put wipers in but I think they all went out the spillway, have not caught one for several years.