need an Irish battle name

[Rawlinson]

I'm liking Cú Chulainn, but I'm still looking o'er that list. In the Wikipedia article Táin Bó Cúailnge, Cú Chulainn is written as Cúchulainn. I know Wikipedia isn't the most reliable source, but are both correct, or only the first? The article on Cú Chulainn spells it as Cú Chulainn.

Brian Boru is good, too... having more choices doesn't make the decision easier.

What's the proper pronunciation of Cocidius? Is it just like you'd say it in English?

EDIT (the third):
Leaning towards Brian Boru; this more allows for a Christian persona. Maybe I could change the Cú Chulainn origin story for my purposes to something more akin to Samson, just Irish instead of Israeli. I've got the hair, I just need to work on the beard...