melody,

when you go to your Internet Options, the tabs on the top should say:
General, Security, Privacy, Content, Connections, Programs, Advanced.

click on Security.
you will see Icons that say Internet, Local intranet, Trusted, Restricted.

click on Trusted.
click on the box that says Sites.
add the URL of the sites that you want the passwords saved. add them completely http://www.blahblahbla.....

be sure to click save changes or the apply button.

this will allow those sites to use the cookies that will "remember" you.

i hope this helps.