Before you plant anything, turn your soil. Using a shovel, dig about 10-15 cm down and flip it over. Do this all over your bed. Then chop the chunks and rake it. This helps mix the compost into the top few cm of clay.
Then form your bed into mounds with water channels between them. This will help keep your plants’ roots from rotting in standing water. Clay isn’t great for gard ening, and CPCG will work on getting more soil amendments for next year. For this year, we have to work with what we’ve got.