There are plenty of options to get a right domain name if your chosen name is not available. Here are some the options that you can choose to get your perfect domain name.
Explore extensions and choose the one that fits: Dot com is king com, it is the first choice for many people, however, you can settle with other extensions because in terms of SEO domain extensions do not matter. Why should yourname dot com be the first choice for your personal blog when you can use dot blog or even dot me.
Tweak the name: If you do not want to explore the extension and want to get the domain name for your chosen extension, the only option left for you is to tweak your name. I have a blog called fatherhoodinfo.com I had chosen fatherhood as my domain name, however, it was not available, therefore I added info and was able to get the domain. You can also add numerals to give uniqueness to your domain,