HORI Japan announced the release of a dedicated microphone for the karaoke gamers which will be compatible with the PlayStation 4 and PC.
The HORI Karaoke Microphone for PlayStation 4 and PC release on November 25, 2016 in Japan on the same day when the DAM Karaoke service starts on PlayStation 4 in the country.

The microphone going to connects to the devices with USB cable. The size will be 215 mm and the weight will be about 260g and it comes with a 4 meter length cable. The suggested price will be 2678 Yen (with tax). You can already pre-order for this price from the Amazon Japan: https://www.amazon.co.jp/dp/B01LX71VLG