If looking for something very unusual or bespoke there may be a need to look to mainland UK or further afield. There are many gadgets available here, including the popular Bluetooth mirrors, and shopping around should result in savings.
Buying from the same place may also yield discounts; end of line products and sales should also make a difference to the budget. Buying the taps and basic sanitaryware from a plumber’s merchant, as opposed to a bathroom company, may also reduce the cost but they will have no design expertise.
A thriftier approach will usually take longer to get the products you want but do make sure you do get what you do want. Buying products with a view to replacing them in a few years’ time will mean having to live with them every day, to your annoyance.
And because life happens, these are items you are unlikely to change until they are on their last legs. Bathrooms are notoriously messy to renovate.