If you purchase a companion pet puppy from a reputable breeder it is usually with the requirement that females will be spayed and males neutered. This prevents adding to the huge over-population of unwanted dogs in today’s society.
Spaying and neutering is a win/win situation for both you and your Basset Hound.
You will eliminate the mess of twice-yearly seasons in your bitch as well as helping prevent unwanted pregnancies, tumors and other female disorders. Neutered males also become more settled and are not tempted by bitches in season.
Spaying and neutering do not change the “personality” of your pet.