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Almost any sport requires you to coordinate between your eyes and your hands. Pick up a sport that's interesting to you, and make it part of your regular weekly routine. Set a goal of play for an hour 3-4 times a week. Look into intramural teams or classes in your area to help keep your practice consistent and make the process more fun.  Sports that involve bats or sticks such as baseball, softball, hockey, and lacrosse are all common recommendations for those looking to improve their coordination. You could also consider getting a badminton net, volleyball net, basketball hoop, or ping pong table for your home if you want to practice on your own time. Boxing and many forms of martial arts are also great to help improve eye-hand coordination. Look into classes in your area for boxing, mixed martial arts (MMA), taekwondo, karate, krav maga, or any other form of martial arts that interests you. Video games require both motor skills and visual perception to execute gameplay. Play a game that requires precision timing, a sensitive touch, and/or great attention to detail, and you may find it helps improve your overall eye-hand coordination. Action games like Call of Duty or Assassin's Creed can be particularly useful for this purpose. Try different types of games, if you have the systems available. Console games, PC games, and VR games will all challenge you in different ways. Learning to juggle is a common activity recommended for people trying to improve their coordination. Start by learning to juggle with 2 balls, then move your way up to three. Consult online tutorials and videos to help get you started, since juggling is often better understood visually. Don't get disheartened if you're not a great juggler when you first start. This is an activity that takes a lot of time to master. Keep practicing and you will slowly start to see benefits with your overall hand-eye coordination. This requires picking up specific pieces to analyze which ones fit together, using and improving both hand-eye coordination and reasoning skills. Challenge yourself even more with a 3D jigsaw puzzle, a Lego sculpture, or another building toy that allows you to think in 3D. This creative activity helps you learn to visually control your hands and fingers by working in the lines on the page. Look for a coloring book that will challenge you with fine lines and details throughout the page. Adult coloring books are gaining popularity, and are readily available at many craft stores and bookstores. Many people find these relaxing as well as a good coordination training tool.
Take up a sport as a regular hobby. Play video games or online games. Practice juggling. Put together a jigsaw puzzle or building toy. Color in a coloring book.