or ask on (sorry to mention it again) facebook page HorseystuffforsaleinScotland - free and there are quite a lot of Fifers on there who could reecommend someone (some horsesitters advertise on it too but cant remember if any are in Fife).
Advantage of one doing it as proper business is they would be insured, so that would be the ideal. But unless you need house sitting in too, Animal Aunts might be overkill.
Just for reference/info, my horsesitter (aberdeenshire) charges £15 per hour plus travel (she is quick so it doesnt cost too much), she is a proper business, insured etc. She deals with the dogs, sheep etc as well.