Installing LaTeX + TeXstudio
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1. Grab [MiKTeX 2.9](http://miktex.org/2.9/setup) and install. It doesn't really matter whether you get the complete or basic system, as the basic system will download packages as needed.
2. Grab [TeXstudio](http://sourceforge.net/projects/texstudio/files/texstudio/TeXstudio%202.2/texstudio22_win32.exe/download) and install.
3. Fire up TeXstudio and hit Options -> Configure TexStudio.
4. Under "Commands", change "Bibtex" from "bibtex %" to "bibtex8 %" (bibtex8 is later and greater and is needed for biblatex, which is better than bibtex for reference handling).
5. Under "Quick Build", check "PdfLaTeX + Ldf Viewer". Not all LaTeX compilers were created equal, and Pdf is likely the format you'll want.
6. If you're feeling adventurous, go to "Editor" and change the font family to "Consolas" :)

TeXstudio (and its parent TeXmaker) operate on the principle that you don't need any fancy project files getting in the way. Instead, it works on the concept of a 'master document'.

If you have no master document selected, TeXstudio will attempt to compile the current file when you hit any of the compilation buttons ("Quick Build", etc).
This often isn't useful.
Instead, right-click on your master file in the left-hand "structure" pane (the one that contains your \documentclass definition, etc) and set it as the master document. TeXstudio will now compile that file when you hit compile.