It’s a good idea to buy your child a keyboard for the first couple years.
1000 dollars can get you a good keyboard that mimics the feel of piano keys. They are getting very good now with this, so the huge difference between the keys feel that used to be is now only a small difference.
The idea of getting the keyboard first has many advantages and you are not losing out on much, absolutely not the key feel as your child is beginning and won’t be affected. Make sure to get a good keyboard though.