If the price is too much for you and you have an idea of what you want for newborn photos, they sell tons of affordable props you can use for your own photo session. They have websites that sell the cute hats, hammocks, blankets etc. Then you can set them up all the time for each mile stone too. Regular cameras are so much better than they used to be. It won't be the same, but you could get a lot more for your money by setting it up yourself.
When styling a photo session, I like to start out with a basic color palette and go from there. It can help to have one “rock star” in the photos who carries a pattern in their outfit that the rest of the group’s clothing or accessories pulls from, while keeping everyone else’s outfits more simple. You can do this with a neutral and a few colorful brights, or try a softer palette that has different tonal ranges of the same shades.