The Kindle Fire login is fairly simple. Generally one you have logged into a network it will save your username and password which makes login automatic.
The first time you login to a network the easiest way to do this is to go to the settings icon at the top of the screen and click on the wi-fi icon
This will bring a up a screen with all of the available networks listed. (on campus use UMC-B). Click on the network you want to connect to and a screen will come up which asked for your identity (username which is your internet id) and password. Enter this information and click connect. The screen will return to the list of networks and will indicate it is attempting and then connected.