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.