There are a number of things you can do to ensure the customs charges you face are minimal:
If you are moving within the EU then bringing some of your favourite foods from home for personal consumption will not be an issue subject to the usual restrictions on liquids on board. Most food items that are produced in the EU can be carried in hand or hold luggage, however liquids should be stored in checked in luggage if they are greater than 100 millilitres.
If you are moving outside of the EU it is best to check with customs in the country you are moving abroad to. For example Australia and New Zealand have very strict policies on not bringing food in and it is an offence to attempt to do so without declaring it. If you do declare food there is no guarantee it will be allowed in as the unique ecosystems in both countries can be easily damaged by the introduction of new plants (through seeds in food) or animals who may be found in or on food.
Most countries have processes in place to ensure you can bring your family pet to your new home.
Relocating a pet usually involves ensuring your pet is:
They must also have a pet passport or veterinary certificate. Your pet may also have to spend a period in quarantine depending on where you are moving to. In the UK pets that don’t meet certain criteria must spend 4 months in quarantine.