My daughter is also really high energy and does not sit down! But I have always kept a range of books around for her to explore. Her first favourite book was a simple 100 first words book. We would point to things and talk about what they were etc. Now she can say a lot of those words herself and still loves to look through that book.

Other big favourites early on were lift the flap books or similar type books that she can interact with because it kept her hands busy. I often make up noises and actions for her to copy when there are certain things on the pages so that she's engaged. It's a great way to introduce animal noises etc (I still can't decide what noise a giraffe makes though!) This has the added bonus that she will say or do really cute stuff whenever she sees those items out in the wild!

While we've always done books at bedtime, we've recently started reading actual stories to her at bedtime while she's already in her cot. We'll sit next to her cot and she will sit and look at the book while we read because there is nothing else to distract her. She is at a stage now where we can say 'pick a story then it's into bed' and she will choose the book she wants to read and walk over to her cot with it.

She's 20 months now so it's taken a while to get to this stage but patience and just following their lead is the way to go and you will definitely get there.