The most important, for my opinion, is the humidor. It's a box (comes in all sizes, from a 12 cigar ones to a room size ones) that keeps the same level of humidity. It might sound a little to professional for a beginner but I really think that if you want to keep the quality of your cigar that a necessity. Some humidors come with a temperature controllers too. For the rest of the accessories there's the cutter (which chops the tip of the cigar) and of course a stylish lighter and ashtray are recommended because smoking cigar with no style, ruins the experience.