A big part of my job here at The Verge is to find deals on tech that readers will like. But in my personal life, I’m not spending anywhere near as much money on tech as I am on food, litter, and other supplies for our two cats. Sad, but true. If your life is also ruled by furry (or feathered, scaled, shelled) friends, perhaps your interest will be piqued by Amazon’s five-day Pet Days sale happening through 2:59AM ET on Saturday, May 16th. There are a ton of products available that have some sort of discount attached — too many to list out individually. In case you don’t want to sort through all of the deals, I’ve attempted to do you the favor of plucking out seven noteworthy discounts for cat and dog parents. The product I recommend to all pet owners is Bissell’s Little Green upholstery and carpet cleaner , which is $99.99 at Amazon (originally $129.99). It’s the fighter you need on your side to help you get nasty stains out of your carpeted floors and stairs, rugs, couch cushions, and more.…