After coming out of gringotts Harry first went to buy himself some decent clothes. He went to a shop opened by a muggleborn witch. He shopped for everything.
After that Harry went to Flourish and Blotts shop. He bought many book. He took Introduction to wizarding world, defeat of the dark lord, basic spells, Occumulency, book on metamorphagus, etc.
Harry then used the ring to go home. As soon as he said home, he felt a strange sensation. Upon opening his eyes he saw a beautiful house which was more of a mansion. He went in. When he opened the door a strange creatures welcomed him.
"Welcome home Master Harry. I is Tilly. I is the head of the house elf of Potter Family."
"Er… house what?"
"House elf. We is doing all the works of the Potter Family. The Potter Family has many house elf. We being waiting for Master Harry to come for a long time."
"OK…… Tilly just call me Harry. And can you show me around?"
"yes master Harry…I mean Harry."
The mansion was of three floors. The walls were made of white marble and had intricate designs on them. Each floor had hundreds of rooms. When he reached the library he was shocked. It was so huge and had thousands of books. The mansion had great hall, dining hall, study room, ball room, dueling room, and many other rooms.
Harry called for Tilly. He asked her for some food. He took the potions and applied the salve. He then went to one of the room that had Harry's Room on it. The room had a king size bed. He changed his clothes and went to bed.