It is generally recommended to publish photos on the web in sRGB colour space. You have used the correct export setting.
Ideally you calibrate and profile your computer monitor. But this is a huge topic if you want to know all the details. It will be worth the effort if you earn money with photography or are doing prints and need soft-proofing.
The use of different colour spaces, lack of calibration and profiling is the cause of those differences in perception. You cannot do anything about other people's mobile devices. Most computer screens are too blue-ish and too bright and most mobile screens show colours too saturated - at least when you look at them in a room. Outdoors, with bright sunlight it might not be a bad thing to have a high saturation.
On some phones you can at least reduce saturation by changing a different profile. Additionally, Android's developer options let you enable the sRGB colour space for photos (I tried it with Android 10).