Many artists offer drawing your dog’s portrait using your favorite picture. You can choose different techniques, such as charcoal, pencil and watercolor; depending on what the artist offers. Many artists offer their services on their websites or online auctions. Either way, it is a good idea to go through their online galleries and decide the style you like the most. Price depends on the size of the portrait, number of animals on a portrait, technique, etc. Communicate well with the artist and be sure to know what you are getting with the price you pay.