This has been driving me nuts, there are a million ways to do this, but this is by far the easiest method I have found:

1. Move to the beginning of the block you want to cut/copy and press shift + V for whole lines or CTRL + v.
2. Move to the end of the block.
3. Press d (cut) or y (yank/copy).
4. Move to where you want to paste and press p.