No, there’s no need to wear a mask and it won’t do you much good if the aim is to protect yourself from infection. Viruses can pass through them fairly easily. You would be more likely to infect yourself taking the mask on and off, adjusting it, etc with dirty hands. Plus it only covers your mouth and nose, but not your eyes.
I work in public health. I do have lots of clinical grade disinfectant (I have this normally, great for sickness bugs), but no masks. I work in central London. If things get bad enough I need to protect my face, I’ll be staying home. Within a household, if one of you gets sick, it’s fairly likely all of you will unless you have some technical knowledge of infection control, which the average person just doesn’t have.
The best thing you can do is lots of hand washing, minimise contact with others, and keep yourself as healthy as possible (eat well, sleep, don’t smoke so your respiratory health is good, take inhalers if you are asthmatic, keep up on other long term conditions).