Winter’s grip is tightening around Metro Detroit and our furry friends are feeling the chill, too. Why it matters: Winter can be tougher on pets than many owners realize, Royal Oak veterinarian Lauren Zeid tells Axios Detroit. What they’re saying: “If it feels too cold for you to be outside with a coat on for a long period of time, it probably is too cold for the animals, too,” says Zeid of Burrwood Veterinary. Beyond that common-sense rule of…