1. Open file:
vim yourfile.tex
2. Move to block start
3. Press V to start visual line mode
4. Move to block end
5. Yank or cut:
y (copy)
d (cut)
6. Open new file:
:split newfile.tex
7. Paste:
p
8. Save and close:
:wq
9. Return to original:
:bp or Ctrl-w w
10. (LaTeX optional):
\include{newfile}
11. Undo / Redo:
u (undo)
Ctrl-r (redo)
12. Jump between files:
:n (next)
:prev (previous)
13. Search within file:
/pattern (forward)
?pattern (backward)
n / N (repeat forward/backward)