I have switched from windows to mac and now I have experience with both environments. Theoretically LaTeX should be platform free and it you have all packets installed you should be trouble free.
On windows I used to have Miktex distribution with TexnicCenter as software.
On Mac I have MacTex distribution which is TexLive. Texlive is available for Windows as well therefore I would recommend it in order to have similar distribution on both computers.
Another software that could be installed on both platforms is TexMaker.
On windows (and Mac also using wine) I would recommend editing on Notepad++. It does miracles with functions as: Find/replace in all open files, find using regulated expressions, highlighted syntax.