Upon landing on your homepage, I don`t get the impression that you are in fact selling anything... at all! It looks more like a product brochure style site, telling about the bags but not selling them.
What is to lead me to think about purchasing unless I were on one of the product pages? You ought to start SELLING right from your homepage. List your popular products there. Put them with big BUY NOW buttons and make a point of any deals you are offering, if any. Make the categories more prominent.
I suggest looking at some popular e-commerce sites for ideas. Amazon is a great place to start. What do you or don`t like about the way they do it? What can you do that is similar? Keep in mind that it is big sites like this that have made the online shopping experience easy and comfortable to consumers.
Basically, I think the site is plain. There is not really any style or common layout to the web experience. It`s all black text on a white background with no boxed areas and the photos just float there. The quality of the product photos
could be better as well. Overall, you need to put some DESIGN into the site, especially given that your products are a unique design. (I think. I don`t know anything about baby stuff.) Refine your branding with a logo, a color scheme, a style. How come that red logo doesn`t look as good as the one on the bag on the homepage? And your logo should also include the company name in a comprehensive image.
I`m not sure how you made your site but you probably want to use a professional web designer to make you look more professional. It`s a good start and you`re on your way! Just keep improving.