Really comprehensive answer, many thanks.1. Three hole bath taps are, I'm afraid, the work of the devil.
2. You will probably find that the handles have long spindles which go down to cartridges below the level of the bath top. To get the cartridges out you may well have to remove the taps from the bath completely, which will require access to the underside of the bath.
3. For preparation, make sure you have a way of readily isolating the hot and cold supplies to the taps.
4. You may well find that there is a grub screw behind each tap handle, recessed into a hole. If so, isolate the water, turn each handle 90 degrees outward and remove the grub screw. They are usually 2 mm or 2.5 mm Allen head grub screws, so you will need appropriate Allen keys.
5. With the grub screws removed, or if there are no grub screws, the handles should pull off vertically. If stiff, pour very hot (but not boiling) water over the taps, which may expand them enough to come loose.
6. With the handles off you may see a hexagonal, usually brass, nut at the top of the tap works for each tap. Undo this if you can and that's the cartridge removed.
6. If all you can see is the spindle going downwards, you will have to remove the chrome base of each tap, then get underneath and remove the taps and then remove the cartridges.
7. As a suggestion, remove the handles, then post a further photograph of what can be seen.
8. If you know the make and model of the tap, look up the installation instructions which may give you a clearer view on how to change the cartridges.
1. At least you have isolation valves fitted which should enable you to turn off the water. The chrome fittings just above the copper pipes. Turn the screwdriver slot in the centre. Slot at right angles across the valve = closed, parallel with the valve = open.
2. Then remove the handles, as above.
3. Post a further picture of what's underneath the handles.
4. With respect to access, seen much worse.
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