You can download free fonts and install them in your word processor. Many band logos only contain striking letters. So, you can try using different fonts, and check if that suits the mood of your band.
For instance, if you have a heavy metal or rock band, then using jagged or menacing fonts will be the best options to opt for.
You can also think about adding an image which complements with the name of your band. Many people name their bands while associating it with something physical. So, if same is the case with you, then you can add a simple image in your logo too. If your target is adult-oriented, then you should try to avoid using childish images.
Use logo colours that should complement with your band genre. You will never like to use pink colour, if you have a rock or heavy metal band. If you want to go for crisper and conservative approach, then it is best to use black and white fonts.
You can also share your ideas with your friends, so that they can give you a proper feedback on your logo. Sometimes, you get a better idea from someone who you think does not anything about creativity.
If you still do not feel satisfied with your band’s logo, then you can consider online logo designing tools, which allows you to create your logos in just few clicks.
You can search for such websites through your favourite search engine. Usually, the logo designing websites ask you about your category and suggest you different logo images and fonts. You choose the ones which you like and add them together, to create your custom font.