Not to mention what you will call them when you're angry! :) I also like two syllable names, but often end up using one syllable, e.g. "Perry" sometimes gets "Pay", and my horse, "Hero" often just gets "Roe".
I want my basenji to have an African name, so I searched African names via Google. Most of the sites tell you what African language the name is from and what the name means. It was an enjoyable process!