I use Squarespace currently but I am in the process of rebuilding my site in Wix. While Squarespace is pretty straightforward and they have some nice templates, I do find them somewhat limiting. Sometimes images never resize the way I want them too, no matter what I try and text ends up going a bit goofy too. They do have some nice features and the fact that you can swap a template out for another and it automatically converts everything - although certain customizations may need redoing doing to the template layout. I cannot fault them on customer service though. Very helpful and friendly. If you do go with Squarespace, I'd get their upgraded package as you can get your domain name through them for free if I remember rightly.
Wix I find I have much more freedom in the layout and it has some nice features too. You do lose some benefits of Squarespace but to be honest, the ones I will lose I never used anyway. Still, I'm sure given time that Wix will add more features to make it more alluring to people.
There is also format.com They design sites that are geared specifically for photographers. They seem to be pretty popular with some well known photographers. The only thing that put me off was the fact that the sites were pretty much identical as a result. Plus I write a lot of tutorials, guides and reviews and wanted something that facilitated that. Make sure you check out all three and play with each for the trial period. I'd suggest just doing one at at time though, as it can take a while to get used to the layout and page building tools. Whatever is going to suit your needs the best and you find is the most intuitive should be the one you settle upon.