Originally Answered: How do you make ionic compounds?
Think back, how do you make a sulphate?
Answer: from sulphuric acid, reacting with a metal. ("Performed well" is obviously a relative term here) :)
Of course, you need the pure metal and the sulphuric acid (often sold as drain cleaner, but if you get concentrated sodium hydroxide it's a whole new world of pain. Read the label)
As far as I remember, for a cell, you don't usually use ionic compounds as electrolytes unless you are electrolysing them. Most cells have acids or alkalis in them. You need to read more about making cells. A simple cell of copper and zinc will give you around a volt, but the zinc will react with an acid electrolyte, so you may not want to use it. Silver and copper will give a nice cell, though the copper will corrode.
Carbon and zinc will give 1.5 volts, but it polarises easily, which is why AA cells and similar have all that black gunge in them.
Lead-acid accumulators are easy enough if you can get the acid, but it needs to be about 4M concentration (potentially dangerous) to work well and an acid-proof container is essential. The web is full of information about cells, it's just interpreting it that's the problem.