hey hey dr.mostafasanad
where are you flying in from and what airport you flying out of? you are coming in on high season with millions expected for jubilee 2025 (holy patronage at the vatican/st peters, people from all over the world). it will be so so crowded, HOT HOT HOT.
do you have accomodations for all of you, where are you staying at in rome, what does "free from 3-4pm" mean? not much time to sneeze, jet lag if traveling far, restaurants will be packed with long lines & waits, roam down an alleyway away from crowds to mom & pop place, have no clue about how you sons would do, may now and be grumpy or may do terrific, many say "their kids" travel well and put into this situation.
what will your wife and kids do while you are at business meetings, how much of rome will you be able to see & enjoy after meetings?
look at best coastal towns near rome, which also may have some crowds but the boys will enjoy.
you need to be near airport the night before flying out and how early flight departs will need at least 3 hours checking in, passport/immigration times to get through
list what you hope to see and times needed to just get around. some tickets sold out already and other are time stamped.
aloha