My 19 month old ds is also an avid reader!! But- he has free access to board books only right now until he can be taught to respect paper books. He has a HUGE wicker laundry basket full of board books. We always find good deals at Costco where they will have a pack of books for $5!! I also have a weakness for books so I will buy them often. Most bookstores sell them. My ds faves right now are the Dr. Seuss books that have all the repetition in them. At 19 months he says the appropriate sounds to the correct pages of MR. Brown Can Moo!! ( sorry ...had to brag!!LOL) But I know other toddlers find these books amusing. He also loves the touch and feel books where he canpet teh kitten's fur,and whiskers, etc. Oh, and he loves flap books too, but I have to watch him with those sometimes!!
I'm not sure when he will be ready to read "paper" books on his own. We have a few from well meaning relatives and a few pop-ups that we reserve for special reading times. They are up on the shelf, and if he wants to read one of them, he knows that someone must read it with him. I just asked my mom and she said that we werent ready for paper books until 4 or so years old. Besides, the stories in regular books are usually too long for toddlers to keep interested in.
Good job in cultivating the love of reading early on!!!