I would like to replace my traditional MS Word based CV. I am looking for solutions, that are as lightweight and portable as a PDF formatted document. Do you have maybe some ideas how to do it?
A résumé or CV should be a concise, easily scanned list of what you've accomplished, organized chronologically by position, plus any particularly notable skills.
PDF is definitely the way to go, so that you don't have to worry about formatting problems. And it will probably be read electronically, so you can do the reader a favor by including lots of relevant links; for example, to a personal site demonstrating your work. This will make it a "living" document. See 10 Things that Define a Killer Resume and Ask a Manager for some good tips.
Most importantly, don't get fancy. Be concise and clear!