How to avoid paparazzi when you play with famous sims?

There is a "celeberty disguise" you can put on in your dressers or mirrors. It's just a hat and glasses ontop of your regular outfit but it does prevent paprazzi from swarming you and you can just have a normal time outside. (And there are mods to make it not just hat and glasses)

You can also use the UI Cheats Extension mod. I use it to remove my sim's fame temporary, say if I want them to gp out on a date where fame is not that essential. It's also useful when I record videos and a sim with fame is acting and I don't want fans to rush onto the "film set" and ruin the recording :)