A sharp 3-4 inch knife and basic gloves are all you need. Work from the brisket down to avoid contaminating meat with stomach contents. In CWD zones, avoid cutting into the brain or spinal cord, debone in the field if possible, and follow state carcass-transport rules.
Quick cooling matters more than anything else — internal temperature should drop below 40°F within 4-6 hours of harvest. See state CWD rules on the disease risk pages.