JR Ribera, you might be surprised how good those kids' PCs need to be! It's a reasonable assumption that an old PC could be recycled into a perfectly adequate PC for desktop applications, e.g. Word / Excel and games because "it's only for the kids". On the Word and Excel stuff, that's normally true but games even for very young children are pretty demanding and old PCs normally need to be upgraded in the graphics card and memory (RAM) areas as Jephree suggested. But run the Online Hardware Scan and we'll be able to advise you on the potential of your specific system
Might also help to know how old the kids are so that we can gauge how high-tech their games would be!