You will need to create the name for your pet based on its appearance. You would not want to name a security dog and a cute dog the same nickname. Some of the names that you can select from are: 1  Stripes: If your cat has stripes running down the back of its hind, then this name will really suit him or her nicely. Sweetheart: Besides using sweetie, you can use sweetheart for your boyfriend too. 2  Other related names to this pet name are honey bun, sweetie pie, sweet muffin, etc. 3  Dear: This name is a cute way to refer to your loved one.