You can decide if your [[pet]] should go offline or stay online when you log off. Right-click something and select Pet/Go (off/on)line.
You can give your pet to another (if they do not already have a pet). Right click on person, under pet option, chose choose give away pet.
The QL of the taming item speeds up the taming action. It is about 1 second less per 20 ql.