The primary source of wealth in Moshe’s day were one’s animals, so offering an animal to the Lord was a financial inconvenience, a sacrifice. Romans 12 tells us what sacrifice we are called to make now that there’s no Temple. We give our lives to God. That is more expensive and more precious than a turtledove, goat or a bull.
God can redeem anyone He wants. When He redeems you, you give Him a peace offering and your life.