You are working out what to arrange separately before moving day.
Taking waste away
Carrying someone else's waste for disposal requires registration as a waste carrier. A removal company that offers to take your old mattress or your shed contents "while we are here" is either registered — in which case ask for the registration and the transfer note — or it is not.
That matters to you specifically, not just to them. Duty of care on household waste follows you: if waste that left your address is later fly-tipped, it is your problem too. A waste transfer note is the document that answers that, and you should insist on one.
Anything gas
Disconnecting a gas hob, a gas cooker or a gas fire is work for a Gas Safe registered engineer. There is no informal version of this and no removal crew, however experienced, should be doing it.
Book the disconnection separately and ahead of the move. The appliance itself can then travel like any other item.
Plumbed and hardwired appliances
Washing machines, dishwashers and plumbed fridges need disconnecting and draining, and hardwired ovens and hobs need an electrician. A remover can move them once that has been done.
Drain the machine properly rather than just pulling the hose. A washing machine that has not been drained will leak across whatever is next to it in the van.
- Gas appliances — Gas Safe registered engineer.
- Hardwired ovens and hobs — qualified electrician.
- Plumbed washing machines and dishwashers — plumber, or carefully yourself.
- Transit bolts refitted on a washing machine if you still have them.
Why any of this is your business
Because the offer is usually made to be helpful, and accepting it quietly transfers a risk to you that you did not know you were taking.
A firm that tells you plainly which things it cannot do is not being unhelpful. It is telling you where the edge of its competence and its insurance actually sits, which is the most useful thing a contractor can tell you.