The key to a successful first family trip is to manage expectations.
Not only your expectations, but the hotels, restaurants and airlines you are going to use too. Confirm by email and by phone that you have requested a bassinet or travel cot, if travelling by air. Ask for a special meal for yourself - you will be served first, which makes feeding your baby so much easier.
Tell hotels and restaurants you have a very young baby and they will seat you close to the lifts, or at a table where the toilet and baby changing facilities are easily accessible.
Before you go, research which accommodation is baby-friendly and also the location of the nearest doctor, hospital, shopping centre and pharmacist. Information like this is invaluable, and whether the tour operator provides it or not, it's best to find out for yourself before you go.