Conrad is very rare & noble name. Not going ro "run into one" in the supermarket, but at the same time is easy to say-remember
It also has very high ratings. Look it up
Florence is for both sexes, also rare & at the same time is easy to remember. Very noble & high ratings too. yes, it is more than ok for either boy or girl
Both names are almost impossible to "screw up" in the way you say them