So far I know 想
means want to
e.g I want to know or I want to have.
要
is more like must
or need
e.g. I need to go or I must go.
Is 想要
more like 想得到
/ 想有
, that you want to get something, you want to have it, even you don't need it? Like you want to have a car on your own but you will never leave your room. That's the meaning to want to get or want to have to me
.
or
Is 想要
more like 需要
, that you need it even you don't want it? Like you need a pen to be able to write, but you don't really want it. If you don't need to write you will never buy a pen, you prefer buying a car. That's the meaning of need
to me.