WordPress folder is screwing up blog’s url

I installed wordpress, and the folder is named “WordPress” with the caps in it. Because of the caps, if I type in the url all lowercase, it can’t find the folder. If I change the folder name to “wordpress” (all lowercase), the pages inside it can’t find each other. If I rename the entire folder to the name of my blog (which is what I’d like to do anyway), the pages also can’t find each other.
And worst, regardless of upper or lower cases, if you type in the proper URL for the blog but leave off the final slash, you get a 404 error. That’s the one that really has me going nuts because who ever types in that last slash? Even the Technorati spiders don’t include the final slash (hence they can’t find it).
So, the question–what can I do to aleveate these problems?