Electrolysis of sulfuric acid with copper electrodes will definitely make copper sulfate and hydrogen gas. I advise you to dilute the sulfuric acid to a reasonably safe concentration. Remember, when diluting acids, pour acid into water and not the other way around. For efficiency, you have to try to keep the copper sulfate from reaching the cathode (negative electrode). Once the blue portion of the solution reaches the cathode, copper ions will be reduced and plated onto the cathode, reducing the efficiency of the cell. You end up moving copper from the anode to the cathode rather than displacing hydrogen with copper. Evaporation will remove the water and sulfuric acid.
As for the potassium/sodium electrolysis, I can't imagine why you would want a NaK alloy or pure potassium. Burning sodium in water is a neat (although dangerous) demonstration, but potassium is far too reactive for anything done at home. Potassium is so reactive that it burns in air to form potassium peroxide and potassium superoxide. Potassium peroxide reacts with more potassium to form potassium oxide. Potassium peroxide, potassium superoxide, and potassium oxide are each also dangerously reactive. These could be your source of color change, which is a very, very bad thing.
BOTH production and storage of potassium and NaK alloys must be done in an inert atmosphere, such as pure argon or nitrogen. I doubt anyone is capable of doing this sufficiently at home. The potassium superoxide layer is formed on potassium and NaK alloys immediately in air. Once this happens, there is no safe way of storing the metal. Potassium superoxide is dangerously reactive with organic compounds. Sodium and potassium often stored in mineral oil due to density issues. In 1999, there was a VERY large explosion because somebody spilled a NaK alloy, cleaned it up, and put it in mineral oil for storage after the potassium superoxide layer had formed.
In short, stick to aqueous electrolytes. If you can't settle with that, stick with sodium as your most reactive product of electrolysis. Take advantage of every precaution available to you if you decide to continue your endeavors.