Three types? Resin, metal and ??? Perhaps finned, but then there would be four types.
Anyway, brake pads come in two broad categories, Resin and Metal. Sometimes it is called Organic and Syntered or Syntered metal.
They are not compatible. Resin pads can be used on discs suitable for Metal and Resin pads, but Metal pads cannot be used on discs which say Resin Only, usually stamped on the disc.
Further, even if your discs can work with both types, you cannot switch without an aggressive abrasive cleaning before changing.
Your best bet is to remove the pads and figure out what they are, and then get the same pads.
If you post some nice, in-focus photos here I'm sure someone will quickly tell you what to get.