European countries provide a healthcare service however if you are not an EU member state national you will need travel insurance with good medical cover for all the family. In an emergency, call 112. If you or your kids need medical treatment, keep all your receipts as you’ll need them for any insurance claims.
European roads tend to be quite safe and the medical care is of a high standards.
There are mosquitos in the Mediterranean countries so be sure to bring insect protection for little ones if you are visiting there. It gets quite hot on the Continent during the summer months so also remember to bring sun protection.
If you are travelling with very young kids, make sure that you speak to your GP before booking to ensure that there are no issues or health concerns that you need to consider.