Sounds good to me.
Neither do I. (I use GIMP.) You'll need something for editing/optimising photos and perhaps creating background images, buttons etc., but not for actual site design. Some people like to draw up a design in Photoshop and then set about recreating it with CSS, but I prefer to design in CSS from the start.
I missed your earlier question about whether to learn from books or internet tutorials. My preference (and the way I learned web design) is to use books. That way, you generally get a good, logical progression from basics to more advanced material. Tutorials are very handy later on, when you have something specific in mind, but aren't sure how to do it. A quick search on the internet will usually provide something helpful.