Using "Foundation" vs "Institute"

I am forming an organization to employ researchers to scour the
internet for unique medical information and make it available to the
public through a website.

This is being established as a non-profit organization.

I have seen that the word foundation is used sometimes for
organizations that do similar educational work, and at other times for
organizations that give financial support for others.

Is there any legal issue on whether foundation can be used for what I
am doing, and are there any "recommendations" out there on the net
about what term should be used, foundation or institute?

I think that foundation carries more gravitas, and would like to know
if there is some opinion about that anywhere

I thought these links might be useful:
http://en.wikipedia.org/wiki/Research_institute
http://en.wikipedia.org/wiki/Foundation_%28charity%29