We went with vinyl fencing around the backyard but as @deb5555 has posted used picket fencing. We went to a fence company and requested the fencing facing closest to the street to be 4' high & on the sides go from 4'to 6' with the 6' length going at our backyard 2 corners & along the back of our property. We also had the choice to have wider spacing on the shorter front fencing & the pickets closer together on the sides & back.
We chose a khaki color over white as we felt white was too stark. For the endcaps on the posts we chose the New England style caps.


I remember we had to special order the front fencing with the wider spaced pickets & the fence could be ordered as low as 3'. But if it was to be shorter, you might have to consult with the installers or the salesperson doing the order.
HTH @Lilysmom1
☼The best place to seek God is in a garden. You can dig for him there. GBShaw☼