My immediate response is that maybe you shouldn't offer web design services. That isn't to be mean but I don't think you're ready. Maybe you should focus on just programming it. Perhaps consider finding outside web designers that you can team up with.
What is your specialty? I get the impression that you like to illustrate? Is that an area you spend a lot of time in? illustration is definitely different from design and so I think you should take some time to just study design. Not web design, not any specific area of design -- just design. That should help you build a better foundation.
If I understand your style well enough it seems playful, youthful with a kind of naivete. If that's your thing you should either emphasize it more or find a better way to have it inform your overall look.
For example, here are two experimental websites that present themselves in a very simplistic, awkward manner:
http://kalx.com
http://www.yokoland.com
I know of the designers but what I like about both is that they take possible weaknesses and push them to such extremes so as to seem dreamy and innocent.
Again, if illustration is your thing, consider an interface that is an unobtrusive as possible:
http://www.lotie.com/
that website is overcome with just illustration. It's built in flash but you could create a menu or interface that does not interfere with the artwork.
That comic link: if that's your comic there the style you have there is ten times more interesting aesthetically than the website example. Work with that. Use huge pixels. Vivid colors.
This website works heavily with a pixel look and a lot of designers do the same:
http://k10k.org/
I hope all this advice helps.
