I love
Flora. It has a delicate, classic kind of beauty about it, without sounding old fashioned. It doesn't make me think of floors, more the goddess
Flora and flowers. I like it as a name on its own, rather than as a nickname for
Florence. I'd expect a nickname for that to be
Flo or
Florrie, as
Flora's etymology is unrelated. And I'm not too fond of
Florence anyway, as just makes me think of the city. City names don't work for me.