It all depends on what message you want to put across through your typeface really. For instance, a bold sans-serif font might imply strength and reliability (good for something like a construction company logo), whereas a slimmer serif font could suggest sophistication and extravagance (good for restaurant menus or wedding invitations).
Have a think about the message you want to put across, then if you're short on fonts head over to a font website (dafont.com has plenty for free) and you can type your name in and see it displayed in a myriad of different styles.
Try a few things out. But I'd advise against mixing serif with sans-serif, or square with rounded.