That clearly instructs the Israelites to use a male lamb or a male kid of the goats from their flocks only. Note that it says male kid, and not the herd. If we take the word that is given in Deuteronomy 16:2, where it says "the flock and the herd," it would then be possible to have a Passover calf. That word there translated into English "herd" is baqar. That word means "bovine" in English.
Remember this in contrast to the Passover. It always had to be something from the flock—a lamb or a goat. You never heard of a Passover calf. Jesus Christ was not the Passover calf slain from the foundation of the world.
Notice the phrase "at the place which the LORD your God shall choose." This clearly contradicts Exodus 12 and Numbers 9 which command a domestically-killed Passover lamb.
Beginning in Exodus 25 we saw all the instructions for the building of the Tabernacle, for the making of the dress of the priests, for all of the furniture, for all of the appurtenances of the Tabernacle, and the consecration of both the priests and the Levites. All of this was given by command in the first month of the second year of the coming out of Egypt. We saw the completion in the story of the Tabernacle, and then the first thing they did was keep a Passover. That is recorded in Numbers 9. There was no change between Exodus 12 and Numbers 9, even though now the Tabernacle existed and the priesthood was installed and consecrated and in its place.
A domestically-killed Passover lamb was still the command after the Temple and the priesthood were in place. This makes it very clear these things that were offered at the Tabernacle, or the Temple, were not the Passover lamb. They were other offerings. That is six differences, with Exodus 12, Numbers 9, Leviticus 23, or Leviticus 33.
