Check out the pronouns in those verses! "You" occurs most of the time, not the priest. You bring it (no surprise); you lay your hands on it (again, no surprise). You slaughter it—messy job! You skin it—another messy job! You wash the internal organs—a stinky, messy job!
Moral of the story? Dealing with sin is a messy, stinky job! You can't pass it off to someone else; you have to deal with it yourself&mash;with the Lord, of course; you can't make atonement for yourself! And you can't just drop a check in the offering plate or the mail.