Olde English Pocket Beagles are a hardy breed, however their coat isn't as thick as other breeds. If you and your pal spend a lot of time outside, consider some clothes for the little buddy! And ALWAYS use a leash in the winter.
Watch Out For Salt
Salt and other chemicals that are used in the winter will irritate their pads. Wipe paws with a damp cloth to remove the salt, and also to prevent it getting licked up and irritating their mouth.
Be careful to not overdo it! They can get frostbite just like we can, and can often be hidden beneath their fur.
Check their paws for signs of irritation or cracking. Pet-specific foot balm is for this. Check in-between toes for stuck ice or packed snow.
If you see a homeless animal or an animal tied up outdoors without shelter, take a moment to call the animal shelter or Humane Society. Winter is a terrible thing for an unfortunate or mistreated animal.