So you just got a puppy, and it's adorable. You want to give it the world, and of corse that includes proper exercise. But is your pup old enough to go running with you? Most people think that because your puppy needs exercise, you should take it on your runs when the reality is, it's probably too soon for that. Generally speaking, if you can still call your dog a puppy, it's too young to accompany you on your jogs.
Running on hard surfaces, like asphalt and concrete, can damage your puppy's joints and bones. Really you should wait for the dog's growth plates to fully close before taking them on long runs on a leash. This growth can vary with the breed and you should check with a vet to make sure your pup is up to par. In general, short snouted dogs, like bulldogs, aren't usually equipped for long runs, even when they're older. In larger breeds, these growth plates close around 12 months although it's recommended to wait until 18 months before running!
The better alternative is to take the puppy to a park or trail for a while and let them tire out. When you let them run without the leash, you give them the opportunity to set their own pace instead of trying to keep up with you! Dogs are eager to please and will definitely try to keep up with you until they literally can't anymore.
When your puppy does reach an exhaustion point, he or she will let you know. It'll start with your puppy slowing down while you're jogging or walking and eventually you'll be pulling them along. If they've really been pushed too far, they'll lay down and after your run, thy'll be very lethargic for an extended amount of time.
Remember, dogs dehydrate faster than humans do and will need to stop more often for water. Instead of sweating, which cools us down, dogs pant. Since that's not as effective, your dog will need more water than you do. Make sure to bring their water bowl too!
I know it's hard to go to the park every day, so throw a ball with him, play tug of war, and give him lots of affection when you can't. In the long run, you're saving your dog from joint problems and helping them stay healthy in their adult life. Although puppies need exercise, you don't want to give them too much. The bottom line is, better safe than sorry!