These blessings were written to be used on Erev Shabbat. Their timing is meant to parallel the blessing of children.
Blessings for Cats
Yesimkha E-lohim ka-aryot ha-sadeh
May God make you like the lions of the veldt.
[by Rabbi Ya’akov Adler]
Yesimkha E-lohim ki-yehuda ha-aryeh
May God make you like the lion of Judah.
[by Rabbi Anna Rosenfield]
Blessing for Dogs
Yesimkha E-lohim ke-kalev ha-ne-eman
May God make you like Caleb, the loyal one.