How can I improve my grip strength?

Either I receive the indirect benefit of gripping, and simply do the workouts and maintain my grip (dead-lift has always been the superior grip developer for me, because I can load a heavy weight where my wrists want to fatigue sooner than the rest of me) – in other words, I don't do direct wrist work but I build my grip by not using wraps on dead-lifts and by reversing my grip on curls and push- downs, for example, or I do direct wrist work and then utilize wrist wraps so my forearms aren't the weak link when doing deads or pull-ups, for example.

You can integrate some wrist training by simply reversing the grip, i.e reverse grip pressdowns, bench press, etc.

In addition, why not do some direct work - dumbbell extensions and flexions, barbell extensions and flexions?

You can use the gripper tools to practice flexion.

You can take a rubber band, wrap it around your fingers, and practice spreading your fingers for extension.