The CDC does not recommend face masks for people who are not currently sick. The reason it twofold - one is that unless you have fit the mask to your face properly, which is bloody difficult to do and even harder to maintain, it just doesn't work. Any tiny gap in the seal sucks air into your breathing space. Two is that even if you can fit it correctly, you have just spent five minutes touching your face, which ups your risk of infecting yourself.
The Lysol wipes is a great idea. Hand sanitizer is only good for so much - they are anti-bacterial and the thing we are fighting now is a virus. If it helps you remember to wash your hands at the earliest possible time, sure.
I hadn't thought about shower immediately, but that's a great idea.