Not such an easy topic, but let me try to show to you what basically happens when deforming a UV unwrapped mesh.
(Disclaimer: this is a very incomplete answer!)
Suppose you have carefully unwrapped and textured your model, like this:

But the you decide to change the shape a bit, by moving vertices (or using a Lattice). This will happen to your texture:

It depends on your texture if that is a problem or not and how much deformation is acceptable.