The Hawaiian Poi Dog is an extinct breed, and was a small-sized, short-haired dog that was often killed for food in Hawaii before the breed disappeared around the turn of the twentieth century. These dogs were low-energy, not very intelligent, and had very poor health--in part because they almost certainly received very little care or maintenance.
See below for more info about how the puppies developed, the exercise they did or didn't get, and their dismal dietary habits.
Hawaiian Poi Dog Exercise Needs
These extinct dogs were sluggish, overweight, and extremely low-energy--which meant Hawaiian Poi Dog exercise requirements were basically nonexistent. In fact, the Hawaiian people who owned Poi Dogs usually ate them for food before they died of natural causes, so these dogs were discouraged from exercising at all--because the more fat, the tastier the food!
One way the Poi Dog may have gotten a bit of exercise was playing with children. These dogs were often considered "spiritual protectors" of kids, and were given to children as gifts; Poi Dogs were thought to be quite playful--but they were in such poor physical shape that they weren't able to sustain any physical activity for very long.
Hawaiian Poi Dog Maintenance
Though this breed was extinct by the early twentieth century, these dogs wouldn't have needed--nor did they ever get!--much general maintenance. Hawaiian Poi Dog shedding was probably moderate, and most likely, drooling wouldn't have been an issue.
Poi Dogs had short, stiff coats that likely shed a fair amount. Though they wouldn't have done this, owners could've brushed their Poi Dogs with some type of stiff brush to remove any dead hairs. Heir cleanup would have been necessary from time to time.
And no info exists about Hawaiian Poi Dogs' drooling tendencies--but since similar breeds aren't prone to drooling, odds are these dog's didn't slobber much either.
The Hawaiian Poi Dog actually got its name because of its diet. Because many of Hawaii's citizens were poor during the time of the breed's existence, meat was very scarce--so owners would feed their dogs Hawaiian poi, a traditional food consisting mainly of paste made from root vegetables. Since these dogs could only subsist on this one food source (and Poi dog treats didn't exist!), they surely suffered from a major lack of protein, which likely contributed to their low energy levels and poor general health.
Even so, owners were somehow able to make their Poi Dogs obese later in life, so the dogs could provide more meat once they were slaughtered for food for humans.