Do not rely on a generic checklist
A European household move can involve different rules depending on the destination and whether belongings are entering or leaving the UK. A generic website list cannot confirm what you need for a particular border crossing or customs declaration.
Prepare your move information
Keep an accurate inventory of the belongings being moved and have your collection and delivery details available. Ask the removals team what information it needs for transport planning, but use official government sources for the current legal or customs requirements that apply to you.
Moving belongings into the UK
GOV.UK explains the rules for bringing personal belongings into the UK and when transfer-of-residence relief may be relevant. It also notes that tax, duty and restrictions can apply in some circumstances. Requirements may change, so check the official page close to the move date.
Official resources
External guidance is provided for general information. Check it against your circumstances and the current version of the source.