How many middle names?

How do you guys feel about 2 middle names? I’m Swedish so my siblings and I, cousins, our parents, grandparents, great grandparents, all my friends, everyone has THREE names plus their last name. I want to keep that tradition for my children by using one of my grandparents or great grandparents names as one of their middle names on top of the modern/new names my SO and I have chosen as first and middle. He says it’s okay if I can make it flow and that it’ll be exotic to have some super Swedish names, but doesn’t want it to sound like a stretch or too much of a mouthful... He is also Mexican so he is adamant our children will have both his and my last name (in that order: father’s last name - mother’s last name) Which means our baby (and future babies will have 5 names... Is that too overwhelming or could it be cute if done right?