If your aim is to accurately capture instruments, this is the only polarizing filter I’d recommend. https://breakthrough.photography/products/x4-circular-polarizer
Lighting is one of, if not the, most important aspects. Sounds like you already have decent glass (second most important, IMO), so that’s what I’d focus on. I’ve shot nice instruments with broad spectrum LEDs and tungsten hot lights, but I only use strobes if I have the option. Sometimes it’s not practical to travel with them and can’t rent them locally, but 99% of the time they’re what I use.