First off, no redundant PSU because they "don't have the capacity"? You not only need a UPS, you need an electrician.
Second, no sizing data? What is the peak load at startup per rack? What is the average running load per rack?
What would be your ideal runtime?
How many racks?
Peak Load will tell you how large a UPS you need (in KVA), Average load and run time will tell you how many expansion batteries you need to buy.
Buy the management card for your UPS and configure it to send you email alerts. While you're at it load the client software on your VMs so they know when to gracefully shutdown.
Ask your electrician if you need 3phase or 2phase (my money's on 2 for you)
Then get the electrician to install enough dedicate power circuits to drive your new UPS(s). While you're at it, ground the racks.
Then call your AC guy, because once you've done enough math to buy a UPS you'll have enough data to correctly size the AC in your server room.
When you find out management doesn't care about extended recovery time and data loss, and they shoot down the CAPEX for your UPS project, you can focus on things that really matter: good backups and your resume.