[Question] Which Wireless Video Game Controllers Are Compatible with Certain Emulators?

I would like to play some video games, from various video game systems, on my iPad Pro 11“ (iOS 13.3, unc0ver). It has been awhile since I‘ve dabbled in video games, so my apologies if any of this seems elementary.

Here‘s what you should know:

• I want to use actual, physical controllers instead of on-screen controllers provided by emulators.

• The emulation software I will be utilizing on my device:

DolphiniOS (for GameCube and Wii games)

PPSSPP (for Playstation Portable games)

Provenance (for Nintendo 64 and Playstation 1 games) (Question: Provenance can be used for Playstation 1, right? If not, can I use Retroarch?)

• Relevant tweaks I have installed on my device:

nControl

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In light of the foregoing, which wireless controllers should be compatible with these emulators? Remember, I want to be able to play Wii, GameCube, Playstation Portable, Playstation 1, and Nintendo 64 games. I am willing to purchase as many controllers as is necessary to cover all of these systems, but if I can play more than one system with a controller, I would like to consolidate where possible. Also, price is not a concern.

Thank you very much for your time and assistance with this. I feel overwhelmed by all the information out there on this topic, and I really just need someone knowledgeable to tell me exactly what to purchase.