i have a couple of alitalia flights coming up later this month....the first one is zrh-fco-ath & the other one is ath-fco....there are two adults, one child & one infant in the travel party....my ticket states that i am allowed one 23kg check-in bag but neither does the ticket nor the alitalia website mention anything about strollers & car seats....would i be allowed to check in these items for free or do they come out of my baggage allowance????

some more information....we are traveling in y & i have diamond status with delta....