How's it going? Sounds like you are busy. I can tell you that the property staff was most likely instructed to stop ordering supplies while the transition took place. Here is what I usually suggest to Maintenance Supervisors: They need blank keys on hand to make keys and they need a minimum of 2 locksets for turnovers and emergencies. But it is nicer to have 4 on hand. I always want a minimum of 2 faucets (kitchen and bath), at least 6 o-rings for toilets, a couple of pop-up assemblies and lots of caps/packing materials, etc. for dripping faucet repairs. We order in dozens for miscellaneous plumbing supplies, like hoses, toilet seats and caulk. We order blinds in bulk twice a year (estimating how many turns will require what number). Then, we pick up blinds as needed as the half year comes to a close, making adjustments as we go to the budget. We like to have on hand at least one check valve for a water heater and the parts for installation, though I don't stock water heaters here because we can get them on a moment's notice. Electrical - I want at least 1 thermostat, light bulbs ordered by the case in the sizes/types for the property, outlet covers, a couple of GFIs and switches, breakers.
As for HVAC, we don't keep a large stock either, but I like having thermo-couplers and one gas valve here at all times. Freon for re-charging ... every property is different of course. Is this what you meant?
Some Maintenance guys love ordering supplies or running to the Lowes/Home Depot every other day, but I feel that is a waste of gas and time. I don't stock appliances, except for extra parts off old ones we save. We also keep janitorial supplies for routine cleaning, rags and paper towels and toilet paper.
Are you loving your new job??? Hope so!