The way I do my naming is a tad bit weird. I treat things more like a brand rather than simply a name. I go by the name Brabbit1987 around the net, and even in my youtube videos. But my brand is B-Bunny. So my gaming channel is called B-Bunny Gaming, while my art channel is called B-Bunny Artistry.
If you are not really looking to go for a brand of sorts .. than just use the name you go by on social media. Or as Kratos said, change your social media to match your channel name.