The Lord Chamberlain uses magic to get around the vast Palace quickly and to help him organise his paperwork. The Housekeeper uses magic to keep stores up together and to fetch ingredients (though when she cooks, she prefers to do so manually. She cooks mainly for the staff. The cooks, come the end of the day, are glad not to have to do so again.).
Magic is also used to help with awkward cleaning (but no water based ones are allowed as mentioned). The Queen's pictures are cleaned manually but by senior maids who have had training to do it properly. And they are trained by the Housekeeper who had spent some time on Earth, studying how art galleries look after their exhibits.
The gardeners use spells to help boost plant growth (it's their version of adding fertilizer!). Water for the plants comes from the lakes that feed the Fountain of Youth. Plants grow quickly in the Palace grounds which in one way is great but does mean the gardeners end up doing a lot of pruning as there is a tendency for plants to "over grow".