How to move control point along path?

Just started modeling with curves. Once I have created desired shape I’d like to add a few more control points in order to refine details. So far I learned to subdivide in order to add a new control point to the existing path (modeled curve). However this new control point is only added in the exact middle of 2 existing control points. How can I move this new control point more to the left or right without messing up the curve shape?

see noob to pro tutorial on curves
to learn how to work with curves

after it will be a lot easier

happy 2,5