I found several quotes that look more or less like this:

I'm in love, I'm in love with Attila the Hun,
Attila the Hun, Attila the Hun.
So let's pillage a village and kill everyone.
I'm in love with Attila the Hun, Hun, Hun.

But I was unable to find any site that had more than the one verse.

According to TV Acres, IN LOVE WITH ATILLA THE HUN first appeared on episode 118 of The Dick Van Dyke Show, and later on episode 29 of "That Girl." Both programs were written by Bill Persky and Sam Denoff.

Spelling is a concern:
"Attila the Hun" – 138,000 hits on Google
"Atilla the Hun" – 21,100
"Atila the Hun" – 16,200
"Attilla the Hun" – 4,330