Back at the Cauldron that night, Harry spilled an open bottle of ink over his pants as he was putting all of this away. Thinking at first that it was a small loss, as they were Dudley's old trousers, he'd been brought up short by the magic mirror on the wall scolding him for looking scruffy all the time.
The next morning, the boy went shopping at Gladrags. He already had school robes, so Madam Malkins was out as unnecessary, but ordinary everyday stuff to wear when he wasn't in his school robes was desperately needed.
Then it was back to the luggage shop to purchase a stand alone closet (called a wardrobe) to hold his new attire in.
Harry had just read that morning that his mother had been a genius prodigy at Potions. And, determined not to let Snape deprive him of his family's legacy, Harry went to the apothecary and purchased a complete set of masters level equipment. Then, seeing as how there was no place to set all that up at the Cauldron, it was back to the luggage shop to buy a folding set of cabinets, like his bookcases, and another desk to put it on.
They had a Portable Potions Lab set that came with its own model of desk and two counters, all with underslung cabinets, specimen storage and tool drawers. That set came with features like splash guards and so on, that had Harry wishing he'd known about those before starting Hogwarts, as it would have saved him no end of problems (and sabotage from Slytherins).
Seeing the boy juggle so much in his arms, and with overstuffed pockets, the salesman at the luggage store sent him on to a related business, where they sold Safari garb, and the owner there ignored all of the child's requests and outfitted Harry with everything, the full kit and kabootle, everything from pith helmet and light beige travel outfits with lots of pockets, like you'd see in old pictures of British explorers in the 19th century, to ever-expanding weightless bags, belts whose pouches would store and organize a tremendous amount of safari gear, tools for taking specimens, and everything the old gentry might need out in the wild - down to and including beads charmed to be attractive to natives in case you'd like to trade for their services as guides or bearers or whatever.