Improving knife skills for vegetable preparation starts with selecting the right type and size of knife. A chef knife like the Deer & Oak Chef Knife is versatile and suitable for most tasks. Hold the knife firmly with a proper grip, keeping your fingers away from the blade. Practice the rocking motion while cutting, using your non-dominant hand to guide and hold the vegetable securely. Take your time, be patient, and focus on maintaining a consistent cutting technique to enhance your knife skills.