A couple of caveats, though: Apple encourages using the same account for everything, and their interfaces try to autopilot you into that setup. You have to pay attention, and find & choose the "I'll set it up myself" options. Also, Apple uses email addresses as the name/identifier for Apple IDs, so to set up multiple IDs, you need multiple email addresses. iCloud includes an optional email account, do it's easy to use that for the iCloud account yourself and your personal email address for the other.
Which reminds me: don't tie your personal stuff (iCloud, purchases, whatever) to an Apple ID under your company email address. If it's stuff you should keep after leaving your current job, it should be under an Apple ID that's tied to an email address you'll still have after leaving the job. On the other hand, for things that're part of the job (e.g. apps purchased by the company for the job), it should be under an Apple ID "owned by" the company and tied to a company-controlled email address.