This is a good question. Phonetic awareness is the ability to hear sounds. This is the first stage for students learning to read - first they need to hear the sounds of letters, chunks of word (word parts, blend, ending sounds, etc), and words. Some easy and fun ways to to increase phonemic awareness in young children are: nursery rhymes, tongue twisters, jump-rope jingles, children's songs,and children's poetry. It is best if children learn these things by hearing them not by reading them.
With that being said, it is important to read daily to children, especially birth to 6. This will help build the child's concept of print - recognizing the front and back cover, locating author and illustrator, learning how to turn pages, that sentences are read from left to right, etc. This is a foundational skill along with phonemic awareness. Reading aloud to your child should be a special time, one that is uninterrupted (as much as possible). You and the child pick books to read. Mem Fox has a fantastic book for parents called Reading Magic that spells everything out for parents and explains why this is such an important and valuable activity.
Another area that can be worked on with children 3-5 is phonics. Start with letter recognition and then move towards word recognition. There is a wonderful program that is designed more for kindergarten students called Secret Stories. Katie Garner has created a way for students to learn and remember phonics rules and then be able to apply them. This is research based and developed with the brain in mind. Worth checking out!
The difference between phonemic awareness and phonics is that phonemic awareness is all about the hearing the sounds. Phonics is attaching that sound to a symbol and in this case a letter.
So to answer your question (I know I took awhile to get here) go to your local library and check out lots of books on nursery rhymes, poetry, and CD with children's music. Ask your librarian for books that involve lots of rhyming such as Dr. Suess and Anna Dewdney. The link below has a complete list if you still need some ideas.