The quote

• Although this is the popular form of this quotation, a more correct translation from the original Chinese would be "The journey of a thousand miles begins beneath one's feet." Rather than emphasizing the first step, Lau Tzu regarded action as something that arises naturally from stillness. Another potential phrasing would be "Even the longest journey must begin where you stand." [note by Michael Moncur, September 01, 2004]
•  It means: everything in life begins in a first step and if we want to achieve or excel we must take the first step.
• Other definition is:That has got to be one of the best known “getting started” quotations ever. However long and complicated any endeavor might be, it always needs to be initiated with something short and simple. It could also be interpreted to show that no journey ever gets completed that isn’t started. There’s just so many useful ways that you can try to interpret those few words.
  
  Once you get started, you only have to do one step at a time. Getting started is by far the hardest part.