The best way to get started is to look at other logos in order to get some ideas. While it might be tempting to create a very complicated logo, it is not always the best choice. If you want to create a logo to simply increase your brand awareness, then you do not need a very complicated logo for that. You can design your logo even in such a simple program like Paint. The important hing is that you should have some kind of logo, as this way your readers will remember your website more easily. Additionally, whenever they will see your logo on any other website, they will get reminded of your business/website. Of course, you may want to hire a professional logo designer, but that is not necessary is case of small businesses or personal websites. I have seen many logos that were created by regular webmasters and these logos looked very nice.