I'd even re-design a few on my own to strengthen my skills. I'd take any pro-bono work I could handle for the value of experience and a live portfolio. The next step is to look for either an internship or a design position in an established Web firm. First, make sure it's not frustrating to use the site. Then, make it clear that the site is updated, changing, and growing.
Some people wonder how their branding is going to come across on a Web site.
They want it to be huge. Some people even ask for it to fill the entire screen. I explain that that will push their content to the bottom, and that scrolling is not really a good thing because people might not see their content then, and they might not know to scroll to it. They usually have an idea of what they want, and we ask most of the questions, such as what marketing materials do they have and what do they want to represent their company. Describe a typical workday.