Other than buying it in itsy-bitsy bags like at B&Q, so the whole project'll cost hundreds of pounds?? Garden suppliers seem to only be interested in delivering a tonne of stuff- how on earth much is that?
The area concerned is possibly 8m squared, which needs covering to a depth of between 4cms and 1 cm i.e. a total of about 0.25m3 of material (how much would that weigh?!). I believe it's lawn laid over an old garden bed which has subsided to the extent you could twist an ankle!
I have read that you put dry sand and dry sieved topsoil on a dry lawn and work it in, maybe with reseeding where necessary as the blades of grass which protrude more than 75% of their length above the new surface will survive, so I'd probably not do the whole thing at once as the 4cm depth of material will smother the underlying lawn.
Any ideas? TIA