Just share things I usually do with my 5-year old son. Hope it may be useful to you.
I’m a massive book lover myself. Started reading with my DS very early so he has developed an interest in reading.
When we read, we have loads of discussion about the reading book: the book cover, the title of the book, the story itself, characters, feelings, appearance etc. I also try to encourage his predication skills and use open questions. The type of books you mentioned is mainly on familiarising kids with sight words, nurturing their interest in reading as well as habit of holding a book, turning pages.
I also play sight words matching game with him by designing or buying flash cards. After finishing reading a book a few times, I often have a story-telling competition with him to encourage him to retell the story even though initially he was only able to use key words, or incomplete sentences. My son loves drawing so I also ask him to draw the stories or characters we read. My own experience is never rush reading, but allow them to explore the book themselves, and allow them to pick one particular page and spend as much time as they like on anything in the book that they like to talk about. Make reading a process-oriented activity not just a product-oriented activity.
We read anything we have at home or from library: songbirds, Oxford reading tree, Julia Donaldson book set, Mr Men, some children’s encyclopedia books.He has a very cosy reading corner in his bedroom and also our living room, so we always go there for reading. I notice kids love repetition so some of the books we read again and again, so much so that he sometimes remembers them word by word. He is just a normal boy with average IQ.
BTW, at home, we also speak only Chinese. Don’t worry, your little one will pick English up very quickly once she is in reception for a term. They are marvellous at languages when they are young.