I've used Suzuki since I started learning (self-taught), and I love them. They're not instructional like EE books, but I already knew how to read music and know my scales and arpeggios on the piano, so I thought the EE were a little boring.
Having said that, I love the tunes in Suzuki, and I've worked through book 1 and 2. I'm not saying I've completed them, there's a lot there that is challenging me, and I have book 3 but haven't started on it due to my terror of shifting. (I blame my teacher)
If you like classical music, the Suzuki books are great.
There is another challenge too, learning a piece and then trying to play it with the accompaniment ... getting there, slowly!
If you think you can, or you think you can't, you're probably right.
I am still in book 1. I can't wait to get to book 2!! I started listening to the songs from book 2.
my daughter and I both used Suzuki from book one. She is in book three right now and I kind of stop in the middle of book two (planning on getting back on it so I could catch up with my daughter) and play random songs from other books (Bartok's duets, Barber's solos for young violinists), and songs from internet. I do like Suzuki, songs in Suzuki are "popular" classical music pieces. Each song builds on the skills you acquired from the previous song. If you get the CDs, you could get familiar with the song before you start learning the piece.