Cruise ship schedule schedule for 2023 Season: https://www.portofcork.ie/cruise-schedule-2023/
Typically 3-5 cruise ships a week call to Cork Harbor. Most berth at the berth next to the Cobh train station (which provides Cobh with a couple of thousand tourists for the day). Also used: the deep water berth (DWB) at Ringaskiddy ship terminal, which is a deep water port that can handle larger liners and ferries; and Horgan’s Quay (a small terminal in Downtown Cork City).

Cargo ship schedule (updated frequently): https://www.portofcork.ie/shipping-schedule/
This is usually has the schedule for the coming week, with frequent additions and changes.

Marine Traffic’s Cork City traffic page: https://www.marinetraffic.com/en/ais/home/centerx:-8.351/centery:51.875/zoom:12
Cargo ships use the cargo container terminals at Ringaskiddy and Tivoli, Compressed Gas facilities at Tivoli and Whitegate, and bulk goods are unloaded at Horgan’s Quay. Also, ships will frequently anchor at Marino Point, the shipyards at Rushbrooke, and at various small quays around Cobh.