Bird's Nest Fern (Asplenium nidus) is an epiphyte, meaning that in its natural habitat, it is growing on a tree without any soil. It also means that pot size should be minimal - a very large plant can grow in a surprisingly small pot. I had some really old, really huge ones when I had a larger greenhouse. They actually grow a trunk with age. I kept mine in heavy clay pots to keep them from tipping over.
The potting medium should be peat based - sphagnum moss is going to be peat someday but not yet.

Keep it moist but not soggy.
I asked my daughter to take a photo of the one I gave her. I will post it later.