What is the Best Web Hosting On Line for my site?

I did a graphic design on the web page in Dreamweaver and now I want a hosting site for this. What would be the best way to get. I do not need any functionality of PayPal. I just need a domain, but I need a lot of other pages, as I have lots of artwork.
I want a customer service that is pretty good. That would show my website in a Google search. And one that has a good link to my site is never down.