Help ;-;

[Noob In]

Hi everyone, I'm new here. ^^; Well I also wanted to find out how exactly you cut a picture perfectly, and then be able to insert it into a background with no white areas? Here are examples:

and
<-- I need that one the most. >:|

I use both PSP6 and PSP7, help is gladly appreciated ^^`;;. Many thanks in advance!

[/Noob Out]