I need help understanding UV map for doing textures

Hi. To get a better understanding of uv unwrapping you need to watch a beginner-oriented tutorial on uv mapping in blender (not ts4 specific). They usually start with visual representation on how uv unwrapping works which is a lot more useful than "it's like peeling a tangerine" that i can offer you in text

After that, read this:
When you have a repeating part of the mesh (a handle), you should unwrap it first, then duplicate.
- in edit mode switch to vertex select, then disable Limit selection to visible. Press B, select one handle, press Remove doubles with Merge distance set to 0,0001. Then press P - Selection to separate it;
- select the separated mesh, hide the counter, in edit mode select the whole handle with A, click on Clear seams;
- select edges as in the picture, mark them as seams. Then deselect the "underlined" edge and Mesh - Edges - Edge split;
- select everything again and click on Unwrap;
- make the counter visible again. In 3d view press Shift D to duplicate the mesh, then X to move it horizontally. Move it until it covers the nearby handle. Do this two more times;
- select the counter again, select the three handles, delete them;