First off, work some water storage into your preps. If the tap went dry today and you didn't have any water storage, it's a life threatening situation. If it goes dry and you have a week's worth of drinking water, you have a little time to plan what you need to do and time to get any of your solutions up and operational.
As Morning Sunshine mentioned, there's some older threads about this subject.
I seem to recall that a solar still takes a lot of square footage to produce enough drinking water. Do you have access to your roof? If so, you can gather dew and rain. You can also set up the solar still up there, you certainly couldn't set it up in an apartment or house.