Hau,Kate, Converting a clay tennis court to vegetable garden is a great candidate for using several methods, one behind the other to get it ready in only one season.
You mentioned Eucalyptus logs are available, this is a great fuel to use to create
Biochar.
Cut the logs into lengths that will fit something like a 55 gal drum. Split these logs into 3-5 pieces for turning into biochar.
A 55 gal steel drum makes an easy to handle charcoal maker, leave the lid solid but poke or drill holes at the bottom of the barrel, this is how air will get in to keep the fire burning. Alternatively you can leave the barrel whole and heat it from the exterior, making the barrel an
oven, you only need one opening in such a setup which lets the explosive gasses from the logs escape. either method works quite well for creating biochar. To do the whole court you will need 20-40 cubic meters of biochar if you want to have it done in one season. Once you have the biochar made, wet it lightly and spread it over the court, next is to dig it into the top 1.5 ft. of court clay. If you go with 20 cu.meters of char I would blend it with the same amount of
compost before spreading and incorporating it into the clay.
The things that will improve greatly from this are; Water retention, friability of the clay, break up so it doesn't compact tightly again and available nutrients.
The working of the court clay can be done by shovels,
tractor with ripper and disc, tiller. This soil disturbance can be done only once or it can be done twice (once per season or once per spreading of biochar, with two spreads done in one season to get
enough into the clay). Once you have done this, you can go to sheet mulches of compost and green materials, laid on the surface and they will slowly incorporate down into the clay, making it better and better soil. The first season of cover crops will also work to the building of the clay into really good soil.
If you are going to be doing all this with only hand tools, I would recommend that you mark out beds for this year, work them so you have a garden going then work on the spaces between these or plant some cover crops in the between spaces with the idea of digging them in along with biochar and compost as you can.
With effort you can do large things, a little at a time. This keeps folks from throwing in the towel from exhaustion.