Stay in Jerusalem overnight. Wonder the Old City, and the Souq at night. It's as simple as that. Tour groups leave. Most shops that sell souvenirs are closed, or the shop owners are tired enough and tamed. We've walked into an little store where the shopkeeper was restoring old coins. Sat down and had a conversation. I've asked him if I could take his photo. It was a great connection with an interesting person. A connection that spanned languages and generations.
When you come back from Paris, you bring a photo of the Eiffel Tower. When you come back from Petra, you bring a photo of the Al Khazneh. When you come back from Jerusalem, you bring back a photo of the Western Wall. You know everybody has taken one, so you do the best you can. But you do bring one back. Here's mine.