How many months of storage
Storage is measured in whole months. You choose a number of months, the rental starts the moment the payment goes through, and the end date is calculated from the two. You cannot ask for a month and a half.
The host sets a minimum number of months, and sometimes a maximum too. The minimum is at least one month and can be higher. When your search carries a number of months, spaces whose minimum is above it do not appear, which is why changing the number of months changes the list of results.
Some storage spaces can be rented as a renewing rental: with no end date, renewing month by month until one side stops it. It exists for storage only, and only with hosts who allowed it, so a search asking for a renewing rental shows fewer spaces.
On a renewing rental too, the opening term must meet the host's minimum months. Their maximum does not apply to it, because it has no term agreed in advance. Stopping the renewal is not a cancellation: the current month runs to its end.