This fluffy and friendly brand name is based on the word "fuzzy".
The name "fuzzzy" has only six letters and just two syllables. Two syllable names make popular global brands. Established brands using two syllable names include Disney, Kleenex and Pocket.
Fuzzzy.com is a .com domain. Dot com domains are the most desirable top-level-domain in the world, famously used by websites like youtube.com. Once you own a .com, it will be much easier to rank for your own name in Google.