I personally find blogger better than word press. I think word press can cost too? Or am I getting confused with another site? Either way blogger is free.
You could buy a domain and get it hosted. I've done that for another company and it came to about $200USD for three years including free domain registration.
The other alternative (depending on what you are wanting it for) is flickr or using gmail's albums. My understanding is that flickr is free up to the first 200 (?) photos, after which if yo want more space it's like $25USD/year. I'm saying all this off the top my head. You'd have to go and look into each of these options to confirm.
Gmail of course is free, but you don't have as much control over the 'look' of your website.
HTH!