I love rainy street photography and I spent quite a lot of time assembling by weather-resistant equipment for taking pictures in rough weather conditions.
The camera I shoot with is the Fuji X-T3. It’s an award-winning mirrorless camera, that is weather-sealed!
Timberland weatherproof boots
I just invested in some waterproof boots and it’s amazing to come home, without soaking wet socks after a rainy day of taking pictures.

Weatherproof photography bag from Peak Design
Read the reviews of this bag on Amazon.

This is a waterproof photography bag and it’s from the guys over at Peak Design. There are for sure cheaper options, but I love the design and functionality of peak design bags.
If you’re into travel or landscape photography, where you will be unsure about the weather conditions, it’s a must to carry your photography gear in a weatherproof bag. If you want, you can also go for a waterproof cover for your photography bag.
Rain cover for your camera

I’d advise you to buy a raincoat for your DSLR or mirrorless camera with a waterproof cover. They come in all shapes and sizes, but a lot of professional photographers recommend the Vortex Media Storm Jacket.