This isn't something to take lightly. Gone are the days when you can just let your dog out while you stay inside, even if you DO have a fenced in yard.. and please, bring your cat(s) in!
Coyotes are smart and they will learn your routine, they can also drag your pet right over a fence. A neighbor of mine let her dogs out in her fenced-in backyard, before noticing a large Coyote sitting right outside her fence, in broad daylight! My neighborhood is in Middletown, CT, and is NOT rural.
This is the time of the year when they're most aggressive, and hungry. Normally they only hunt small prey, but dogs up to 40 lbs have been targeted, and killed.
My advice is to bring your dog out on a leash while you stay with them, and NEVER leave them unsupervised. And, don't let them run off-leash while you're hiking or running in the woods, not only are they at risk from Coyotes, but they could cause a problem with other on-leash dogs.
More info from CT DEEP on how to protect your pets HERE, but keep in mind, Coyote packs HAVE attacked and killed even large dogs, including Pit Bulls, Huskies, Labs, and mixes, so ALL dogs need to be kept on a leash, and not left alone, even during daylight hours.
Increased Threats To Pets In CT
You can see here that this Coyote in New London, back in April of last year, is out during the day, and seems unfazed by the humans following him/her..