They can either be wood or aluminum. I encourage you to use a wood one. If not, I will make fun of you like I do my good friend Bill Booker at LaSalle-Peru H.S. for using his aluminum one. If you choose the wood fungo, I would recommend taping the barrel. If you hit a good number of fungoes, the tape will increase the durability of the bat. I took the tape off of one once. The barrell was like sawdust, but I re-taped it and it was ready to go. One season, I figured it out, between the high school, American Legion, an junior high seasons I had hit over 10,000 fungoes. Tape it up!
Within league standards there is ample latitude for individual variation, many batters settling on their own bat profile, or one used by a successful batter. Formerly, bats were hand-turned from a template with precise calibration points; today they are machine-turned to a fixed metal template. Historically significant templates may be kept in a bat manufacturers' vault; for example, Babe Ruth's template, which became popular among major-league players, is R43 in the Louisville Slugger archives.
Fungo golf is a game involving two or more players in which they use fungo bats and baseballs and their object is to hit certain objects at a field. Fungo golf is played very similar to golf, where the player with the fewest strokes after a certain number of holes (typically nine or eighteen) wins the game. While there is no concrete history of how fungo golf was created, it has spread throughout America as a popular game especially with baseball players and coaches.