Start up gvim and begin editing a new file.

e newfile.tex

If the installation went well, you should see a new set of menus appear. Goto Tex-Suite > Templates. You will see a number of templates to choose from. For now, choose to insert a template for an article. You should get the following in the main vim window (after possibly a hit-enter prompt).

      1 %        File: sample.tex
      2 %     Created: Sun Jun 22 04:00 PM 2003 P
      3 % Last Change: Sun Jun 22 04:00 PM 2003 P
      4 %
      5 \documentclass[a4paper]{article}
      6 \begin{document}
      7 
      8 \end{document}
      9 
     10 ~
     11 ~
     12 ~
     13 ~
-- INSERT --                                     7,1           All

The cursor is left on line 7 (just after the \begin{document} line) from where you can start typing straight away. Trying to lessen movement is a recurring theme in Latex-Suite.