A housewarming gift that does not need more space
Give something that fits the new household, including the cupboard space nobody has unpacked yet.

A new address is not an empty home
Moving boxes can hide a complete kitchen. Before buying a housewarming gift, find out whether the household is setting up for the first time, combining two homes or simply changing addresses. Those are three quite different situations. Another dinner set might fill a genuine gap in one and become a storage problem in the others.
Ask one ordinary question: what are you still trying to sort out? The answer may be bedside lighting, a place for keys or enough everyday cups. It may also be that nothing is needed. A specific question is easier to answer than a request for a whole wish list, especially in the middle of a move.
Choose a manageable footprint
A tray, tea towels or a small serving bowl can work without deciding how someone decorates an entire room. Even these need a little thought. A tray should fit the usual table; cloths should suit the way the household washes laundry; a bowl needs somewhere to live when it is empty. Neutral colour does not automatically make an object suitable.
Large appliances and wall decorations need a conversation first. Counter space, plug positions and tenancy restrictions can matter more than the item's appearance. If several people are contributing to one present, agreeing on an actual requested object is usually less awkward than organising a surprise that requires installation.
Make the arrival easy
Deliver a bulky gift after the recipient confirms that someone can receive it. On moving day a parcel can get mixed up with packing waste, and a fragile object adds another thing to protect. A smaller gift brought later leaves space for the household to discover its own priorities.
Keep the care instructions and any relevant receipt together. Remove price stickers only where that does not remove product identification or useful information. If an exchange is possible, explain the route quietly rather than making the recipient guess. The considerate part of a gift is not finished when the wrapping looks good.
For a household you do not know well, a consumable gift can avoid a permanent storage commitment, but check dietary preferences and ingredients first. A modest choice that can actually be used is enough; there is no need to invent a grand theme for a new home.
When the household has not decided yet
Some rooms take time to settle. The owners may want to live with the light, traffic and storage before choosing furniture or decoration. In that situation, offering to contribute towards a later chosen item can be more considerate than filling an empty corner immediately. Agree on the arrangement plainly so nobody feels they must choose something quickly to complete the gift.
A plant is another common choice that deserves a question. Window light, travel habits, pets and the willingness to care for it all matter. Do not assume every new home needs a living object to look complete. The same applies to scented products: fragrance is a personal preference and can be unwelcome in a shared room.
For a rented home, portable objects often make more sense than anything fixed to a wall. Even a mirror or shelf can require permission, suitable fixings and an installation plan. If the recipient has specifically requested one, confirm the dimensions and what is included rather than surprising them with a slightly different model.
If you are sending the gift from another city, check that it can be delivered and exchanged at the recipient's address. A seller near you may not provide the same service there. Include your own contact details in the delivery arrangement where appropriate, while making sure the recipient knows a parcel is coming. They should not have to chase a mystery order while unpacking their own belongings.