Glazner86,
I'm still not totally clear whether you're trying to do some one-off searches yourself so you can build a couple playlists, or whether you're trying to build an app that lets other people do searches and build playlists.
The former -- making some API requests yourself -- just requires typing requests into the address bar of your web browser, no programming or other tools needed. Take a look at the API documentation, which shows sample requests you can make and explains the various parameters you can send. From what you've said about what you're trying to do, I'd guess that song/search or playlist/static are good places to start.
You'll need to include your personal API key as a parameter in your requests. If you're logged in to the developer site, the links in the API docs should have your own API key filled in for you already, and you should easily see from those examples how it works.