Baby shower or Diaper party?

I'm having baby number 3 ...tech together it's baby number 5 for the us both. Anyways with my second I had another shower due to lists of moving I had got rid/lost all my baby supplies. My father had told me that I shouldn't have one because I had already had one with the first...Now it's been 5 years and I litterly have nothing for babies. This is another unexpected but exciting pregnancy. It just would be a help of I did have another shower and anything I don't get will be bought second hand. Now I thought a diaper party was a shower but for the Dad to be...or is it just diapers for gifts. I've heard both. This is our first child together and I would like to have it for him I'm not fond of having the spot light shined at me...lol. I gusses I'm asking should I have a party and if so what would it be labeled as...thanks for your thoughts.