Persulfate does not last, basicaly you have to mix a new one every time. And it produces a lot of cavitation which is not a problem with photoresist, but it easily removes toner resist.
It's really easy to use ferric chloride. Find a flat plastic bottle, like from gin or something, cut the top from it. It will contain the etchant during the etching. Hang the board inside of it vertically on a thread and a pencil (or just throw it in). Place the flat bottle in a larger can, like a plastic jar from some paint, filled with freshly boiled water. The water bath will keep the temperature of etchant high and vertical position will make it easy for the etch products to precipitate down. Usually it takes ~10 minutes to etch a board like this, single or double sided.
As for the dirty stuff: use latex gloves from the pharmacy. Do it away from where you eat, lay some newspapers on the floor, have lots of running water ready. It really helps to have a funnel to drain the solution back into a bottle where you'll keep it and some glass sticks for preparing the solution. Glass sticks are easy to clean. Some throwaway plastic tweezers to pick the board from the tank, although if you're using gloves there's no problem using fingers. Fresh spills on ceramic tiles and the such can be cleaned with just water and a sponge, just don't let them stay for more than a few seconds.