This is not trivial at a hobbyist level.
Even if you acquire a powder with a suitable primary particle size you will still have to disperse it.
This requires more than simply stirring.
Normally ultrasonics or specialized high shear mixing are required to break up the secondary particles.
It is conceivable that a blender would work well enough after a few hours.
You can often make nanoparticles of metal oxides by very careful precipitation. The idea is to precipitate a sol and not a floc or gel.
Googling 'magnetite sol' immediately yields a number of papers.
Precipitation alone will likely not result in quite the right form of iron oxide. Even if the stoichiometry of oxygen to iron is correct the crystal structure may very well be the wrong one, or just too disordered. A heat treatment(annealing) can fix this. The papers all seem to anneal their precipitate under vacuum to avoid adding oxygen. This strikes me as a bit hard to do at a hobbyist level.
Ferric Chloride is probably going to be the cheapest precursor. If you don't care for the price/purity of commercial etchant then perhaps make your own. Its just iron and HCl.
Probably the largest problem with doing it yourself is estimating/verifying the size and dispersion of the particles you've made.