Unless there is a consequence that punishes the biting, the puppy has no reason to stop the biting. Ouch is not a consequence. Redirecting him to a toy AFTER he bites you is actually rewarding the biting--every time your puppy wants to play, he'll bite you so the toy comes out. So now the puppy has trained you to play with him every time he bites you.
A better way is to harness him up, back tie him & every time he bites, all play stops , all toys removed & everyone walks away & ignores the puppy for a period of time--do not just walk away without tethering him because he'll just amuse himself by sniffing (see video) or something else. Isolation is extremely punitive for the puppy & he will learn to stop the biting. If you're out walking at the park & he starts biting, wrap the leash around a tree & walk away for a short time (same as at home).
"pretend you're injured"
Some puppies actually want to hurt you. They are testing, testing, testing--trying to find their position in the pack which is very natural puppy behavior. This is very exciting & rewarding for lots of puppies because they want to dominate.
"dogs want to please"
They sure do, they want to please themselves.
E-Dog - 2012 WPBTCA National Championships
The time when screech owls and Bandogges howl and spirits walk and ghosts break up their graves.
Act I, Scene IV of William Shakespeare's "King Henry VI"