There's no way to transfer data over WiFi, at least not easily, but there's no reason you can't just use the included USB cable. It's the only way to access the internal memory card anyways. As for an external card reader, Newegg is very good about listing the compatibility of all of the readers they sell. If it doesn't specifically list SDHC, it probably wasn't a mistake that it's not listed. Some of the really cheap readers may not support it. If you're looking for something cheap, I'd recommend sorting by price then looking for the first one to specifically list SDHC.