Depends on how far in you want to go. Ideally, you disassemble and take metal polish to parts to clean off surface dirt and corrosion. Be sure to clean the inside surface of bearings and slide barrels, also, like where the extension slides slide through. pay attention to any possible adjustment points- keyways, small screws that tighten or loosen a joint, setscrews, etc. be very deliberate and studied if you start messing with these.
Without disassembly, I like a combination of naphtha/lighter fluid wipe down. Work the assembly if needed. Then add very small amounts of a fine oil. I use a very small #00 or smaller, painter's brush. Work the assembly. then use lighter fluid on a cotton swab to clean the area, remove extra oil. This also thins the oil and gets it a bit deeper.
Not sure what Ireland has in oil brands and types. In he US, Tri-Flo is about as heavy an oil I would use, and that is only for larger mechanisms. 'Sewing Machine oil,' trumpet valve oil?
Go light on the oil, be sure to work parts after any flushing and lubing. Best to do this, and plan on doing a final cleaning after the camera sits over night. Pay attention over the next few weeks to see if joints seep oil. Wipe up, wipe down if needed. You are in a duel, between the way oils collect dirt and dust, and the way oils make things work smoothly. But be prepared that there may be corrosion that surface treatments won't help.
suggestion: take photos of every area, every step, if you decide to start removing parts in order to clean and lube. And work in very small sections as you get a handle on what is going on. Fortunately a camera like the Horseman is a group of discrete systems so you don't have to worry about one mistake cascading into other operations of the camera.
And NONE of the above applies to shutters or to film backs. Whole different games on those.