Susan,
If you attempt to log in on the new computer, you should see a link labelled "Forgot your password?" -- if you click on this, it will give you the opportunity to retrieve or reset your password.
To check this, I logged out of my account, then tried to log back in. One screen did not show the link, but when I clicked on the "sign in" link, it showed up.
And by the way ... it took me fifteen tries to remember what MY password was so I could log back in!!