We have extra trash cans just in case.
We have the allotted receptacles that the Waste Management company deems necessary for the number of people living here and the amount we pay. In reality they over estimated and thus we are usually OK if we skip a weekly pickup. And with recyclables we could go three weeks especially if I make a lot of noise about people filling the container with plastic encapsulated air - usually in the form of unsquashed plastic water bottles.
If the weather prognostication for this time next week looks like a repeat of this week I will contemplate remedial steps. ;-)