"Cute Snaps" is a self explanatory, very friendly business name for a professional business in the photography industry.
The name "cutesnaps" has nine characters and three syllables. Established brands using three syllable names include Sainsbury's, Santander and Adidas.
Cutesnaps.com is a .com domain. Dot com domains are the most sought after domain extension in the world, famously used by websites like youtube.com. When most people think of a website, they think of a .com.