All I want to do is allow the user to browse through their folders to look for a file, select it and then press submit which saves the file to my server as well as the path to the saved file.
How would someone do this? (Some sort of tutorial website would help a lot)
4guysfromrolla have a pretty good overview of the different methods, including tutorials and third-party components. You should look into this link and see what fits your taste.
4guysfromrolla is OK, but their code isn't very well written a lot of the time.
I always use an object for the task, like Persists ASP Upload, check it out. The documentation is good.
You may want to check out some of the solutions outlined in: http://stackoverflow.com/questions/2639495/classic-asp-email-form-with-attached-file-please-help