It's not a great photo regarding detail, but yes, this does look like a false widow (Steatoda nobilis). But don't panic, they are far less aggressive than last year's media frenzy would have you believe. They are not dangerous, certainly not deadly. They are usually docile and keen to get out of our way.
Bites seem to mainly occur when the spider is accidentally crushed against the skin and are extraordinarily rare (even in areas where the spiders themselves are not).
Even where S. nobilis are well established, they tend to be somewhat spaced out. They are probably more in your general area (they have probably been there many years, going unnoticed). They don't live in colonies or nests.
Females tend to make a web and stick to it, they are very territorial - travelling as much as whole feet from their hiding place is pretty rare. Males wander around more but are far less common at this time of the year as they mosty die off, they stop feeding when mature and the cold of Winter usually does for them.
I put any that I find in my bedroom/bathroom & wandering males outside, I have a couple that have set up home in my living room, high up in a window frame...these don't bother me at all, but I can understand wanting to keep them away from young children.