While the spelling Reese has moved over slightly more to the girl's side, traditional spelling, Rhys, pronounced the same, is one that we love for the boy's! Rhys didn't enter the American list until 2004 at #979, and has only made it to #494 since.
Rhys is Welsh for "ardor," no
matter how you spell it. It's a popular surname in Wales as well as a given name. The Tudor's Henry VIII was played by Jonathan Rhys Meyers and Welsh actor Rhys Ifans may are both two contemporary name bearers. Joey McIntyre from New Kids on the Block named his son Rhys.
Rhys, Reese, and Reece are all great choices, but we love the traditional Welsh option, Rhys! This name might not stay as rare as it is for too much longer!