You usually “arrive home”, you do not “arrive at home”.
Here are a few examples. *The newly appointed manager arrived home at ten o’clock. *As soon as Ganga reached home, she realised that something was wrong. *When Sachin arrived home, he went straight to bed.
Just as you don’t say, “arrive at home”, similarly you don’t say, “go to home”. Instead you say, “go home”.
*The young boy went home and took a nap. *I am going home to watch the game. *If you are planning to go home, can you give me a ride?