Code Library Management - Created A Custom Class

I've created a custom class that I've grown rather dependent on in my coding. I've encapsulated it as it's own "Solution" and use a reference to the class module within the solution on most of my new projects, and that all works fine. It seems slightly clunky to me that my encapsulated class module is packaged with solution-related directories and so forth. For me, this seems to make management and maintenance of these little class modules difficult (renaming them for instance). So now, a few questions:

When you recognize you have a useful class embedded within a solution:
1) What's your method for encapsulation? (is there a template you like?)
2) How do you organize/arrange your code libraries?
3) When, if ever, might you consider using that "Code Snippets Manager" thing in the IDE?

I'm struggling a bit trying to understanding how Visual Studio wraps-up everything in what appears to be a "Solution" umbrella. There doesn't seem to be a lot of write-ups on how to go about organizing your code libraries to work well within this Solution/Project Visual Studio framework.