Through the Family History Center "Portal" offered at most LDS Family History Libraries, including the Phoenix Family History Library, you can access all of these sites for free:
Find My Past -- this was my all-time favorite find through the Portal. I do a lot of UK research, and this website can be pretty costly. And, it is the only site who is offering access to the UK 1911 census. I was very happy when I found that I could access Find My Past for free via the Portal. I was able to find several ancestors in the 1911 census, which filled quite a few gaps in my husband's family tree.
Footnote - great for historic documents. I have also uploaded historic photos to share with others via my free access login, but it is nice to be able to access their content for free through this Portal.
I know the Portal used to offer access to Heritage Quest, but a couple of weeks ago it was not available. Never fear - with my Phoenix Public Library card, I was able to get to Heritage Quest via their website - again for free.
These are my favorites, but I know there are more access points via the Portal. I'll explore those other access points and report on them next Saturday - my day to work at the Phoenix Family History library!
Phoenix Family History Center
3102 North 18th Avenue (Map it! North of Thomas, East of 19th Avenue)
Phoenix, AZ 85015-5811
Wednesdays and Thursdays from 10 to 9pm, and on Saturdays from 12-5pm.