Heavily weight the first impressions of the leasing / office staff to determine whether you WANT to live in an apartment complex: As stated above, these will be the people you will deal with for anything from clogged drains - to being unable to pay rent on time.
In short: you want to make sure they are friendly, professional and courteous -- or it may ultimately detract from the perceived quality of living in that Apartment [0].
[0] - I lived in 6 apartment complexes from time I was a broke student to young professional with a family.
But if a rental provider company owns the complex outright, they still don't have building-specific offices, but just one central office per city/region.
While such an arrangement is possible and legal everywhere something like 95% of all co-ops are in New York City.
The USPS does also have package lockers - larger boxes with keys that get left in your mailbox - but they aren't universal and companies like Fedex and UPS rarely have access to them. You can also have things held at the post office.
It's not that there are no other ways of solving the problem, it's just that the lockers are convenient and requires very little planning or forethought.
Somewhat OT, but are these common in US (or wherever you are)? If so, out of interest, what other duties to they have?
In Finland, I've never seen such offices even in the larger apartment buildings with hundreds of dwellings.
Parcel lockers (both public and recently in apartment buildings) are a thing here as well, but they are mostly replacing pickup-from-post-office. Home delivery has always been a premium option when ordering online, not the norm. The network here is owned by Posti so any company or individual can send packages to them, or use them to send packages at cheaper rates than going to the post office.