Here are some links to information about applying for passports for babies:
USA - Special requirements for minors - US Dept of State, Bureau of Consular Affairs
Canada - Passports for Children - Passports Canada
Australia - Children’s Passports - Dept of Foreign Affairs and Trade, Passports
United Kingdom - Applying for a child passport - Home Office, UK […]
Once you’ve arrived you will need to be processed by immigration and then by customs once you’ve retrieved your luggage. The queues for immigration are likely to be long, especially if more than one international flight has landed.
Fill in your entry cards before the plane lands. Make sure you have filled in both sides and every section - don’t forget to sign it! This saves a lot of time at immigration control.
Have all of your passports in a readily accessible spot - I like to put my entry card inside my passport (and the kids) to mark the photo page. This makes it easier for the customs officer and gets you through the process quicker.