You're spot on correct, with one caveat.
If you have physical possession of the software installation media (which includes downloading the installation program and burning it to CD) then the software is (I think) amortized and deducted over 36 months, instead of being capitalized and depreciated.
With depreciation, you have to recapture that depreciation and pay taxes on it at some point in time (such as when you sell or dissolve the business). Where as with amortization, the cost of the software is actually deducted over time (36 months in your case) and remains a deduction forever, that never has to be recaptured/taxed.
The monthly fees you pay could be reported/claimed as a professional fee, a subscription expense, or a rental expense; whichever is more appropriate for your situation.
