There's a whole range of children's books for free or under £1 - loads at 77p - available for Kindle.
I am so in love with my Kindle, I wish I'd had one two years ago. I didn't think I could justify it then as I never had time to read with a little baby, but now with two little ones, I am so glad I have it! It's so much easier to read the Kindle than an actual paper book, even just from a basic stand point of not having to hold it open while feeding a baby!
And I've often given my daughter my Kindle when we're in a restaurant or coffee shop so she can 'read' a picture book. Even though it's not in colour, she doesn't seem to mind!
There are loads of books for free in this offer, and more at 77p. You can also search by age - the link above will take you to books for 0 -2 year olds. Download, pop the Kindle in your bag, and you have entertainment on the go.
Sure, if you have an iPhone or similar you could just give your child that, but I love that my daughter 'reads'. It feels a little less like screen time.