The word "home" has its own special grammar rules. When you talk about going somewhere, you usually use "to":
Notice that you use "to" with most destinations:
I have to go to work.
We're going to New York at the end of this month.
But you shouldn't use "to" with "home":
I want to go home.
There are a few other words that behave the same way, like "here", "there", "somewhere", "anywhere", and "away":
Let's go there together.
Don't go anywhere.