Web design requires a certain amount of artistic ability, combined with a specific technical skillset. When you are searching for a web designer to build your website, you need to consider these aspects, and more.
Your web designer should also be able to arrange suitable hosting for your site. He/she should also be able to arrange your domain name registration, or advise you on how to do it yourself. If you are building an eCommerce site he/she should be able to arrange an SSL cert and secure payment gateway. Your website designer should also add your site to search engines and optimise it (using SEO) so that you get a decent amount of traffic within a reasonable amount of time.
Lastly, your website designer should be able to listen. While a website designer can guide you in the right direction, at the end of the day it’s your site, and it will be the features and colours that you choose, and the content that you add that will (for the most part) determine whether people will visit your site and return. Your website’s appearance and usefulness is just as important as that of your physical office, studio or shop. It is important that you are completely happy with it.