the persons running the sshd would get the public crypto fingerprint of whatever ssh keys your ssh client tries to present to the sshd upon login (such as if you just have a public/private key pair in ~/.ssh/id_rsa and id_rsa.pub), your ssh client version, and your IP address.
ssh -o IdentitiesOnly=yes
to prevent ssh sending any public keys except those you specify. Can be nice to have this set as default in ssh config.