The simplest and slowest way when you need to use something from the system clipboard:
Copying:
Enter visual mode (v)
Highlight the text I want to copy
then enter in command mode "+y
which basically means "Use a register for following command (") make it the external clipboard register (+) and yank/copy (y)"
Pasting
Move to where I want to paste
then enter in command mode "+p
to paste after the current position or "+P
to paste before the current position
If I don't need to copy/paste stuff to applications outside of vim, then I can skip the "+
register setting part, and just use the default internal register.