Based on your description and photos:
Either Bird's Nest Fern (Asplenium nidus) or Hart's Tongue Fern (Asplenium scolopendrium), or a hybrid. Both form a central rosette of broad, undivided fronds.
Asparagus Fern (Protoasparagus plumosus, syn. Asparagus setaceus). Not a true fern but a lily relative with feathery, needle-like cladodes.
Both are lovely additions. Let me know if you need care specifics for either.
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