You need only to bathe and/or currycomb it occasionally and tidy up his short, hard coat with a soft brush as the coat does shed. To make a Boxer coat gleams after a bath, rub coat down with chamois cloth. It works and their coat stays so shiny!
Their nails require regular trimming or could also get naturally worn down by hard surface. Some Boxers are very sensitive about their paws and don’t let you touch them.
Have your veterinarian remove tartar from your Boxer’s teeth periodically, especially as it grows older. You can also learn to do this yourself.