Blurring rhymes with:
slurring, concurring, conferring, deferring, demurring, deterring, hering, heuring, incurring, inferring, nonrecurring, occuring, occurring, preferring, purring, recurring, refering, referring, schering, scheuring, schuring, slurring, spurring, stirring, transfering, transferring, whirring
Blurring sounds like:
ballerinas, ballrooms, blaring, bullhorns