Hi @bassclef, I have not used the Faber book but it seems to have a good reputation. I use the Alfred's AIO books and am currently about a third of the way through book 2. From discussions I've read on various forums it seems that whichever method book you choose, there will be many pieces that are less than inspiring (and some that are actually dire), so it's a case of plodding through them, knowing that each piece has been chosen to help you build new skills.
I was curious about the selection of pieces in Faber, so had a quick look online at the contents page of book 1. I found that several pieces appear in both Faber and Alfred's Book 1 - here's a list, in case anyone is interested:
Happy Birthday
Amazing Grace
Can Can
When The Saints Go Marching In
Ode To Joy
The Entertainer
Greensleeves
Merrily We Roll Along
Jingle Bells
There are 63 pieces in Alfred's AIO Book 1, but some of them are just small extracts. I guess that Faber has similar snippets from various classical pieces which are not included in full because they would be way beyond the grasp of most beginners.
I have found Gale's tutorials on Let's Play Piano Methods very helpful - he is great at explaining things in a no nonsense way. Keep posting, it's always good to hear from other beginners as they progress through their journey.