Hosting and designing are two separate issues. While the two can be combined, there is really no good reason (for you) to do that and a lot of good reasons not to do that. You, the web site owner, should be in complete control of the three main parts of your web site:

1. The domain name
2. Hosting
3. Designing

To have the three done by different entities allows you, the owner, to be in control. Domain names are easily transferred from one registrar to another. Hosting can be done by one or more different companies. Designing the site can be done by one or more parties. For instance, if you allow the host to also control the domain name, it can cloud the ownership of the domain name.

Keep it all simple by keeping it all under your control.

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DrTandem's San Diego Web Page Design, drtandem.com