At 3, I think she probably needs read to more than she needs to read. I read very young, but still enjoyed being read to. I still fondly remember my 6th grade teacher reading "Johnny Tremain" to our class, that was 40+ years ago!
Ren, since you & your husband read a lot, why not set aside family reading time where everyone reads to themselves. Maybe share an interesting passage from your books/magazines and encourage your daughter to do the same. Keep it short for her, and everyone stay in the same room. At other times, you can read to her.
