A few hours (or even the night) before, add chicken to a baking dish or ziplock bag. Sprinkle with salt and pepper. Whisk together olive oil, lemon juice, vinegar, garlic and dill. Pour over chicken, stick in the fridge and let marinate.
Cook chicken however you’d like – I simply add mine (discarding the marinade) to a skillet oven medium heat and cook until golden, about 10 minutes. In a large bowl, combine tomatoes, onions, artichokes, olives and dill. Add a drop of olive oil or lemon juice and toss to coat. Season if desired.
When getting ready to serve, heat another skillet over medium heat. Add olive oil about 1/4 teaspoon at a time, add one tortilla and cook for about 30-60 seconds per side, until just golden and bubbly. Remove and let drain on a paper towel. Set aside until ready to use.
To assemble tostadas, spread a bit of whipped feta on each crisp tortilla. Add chicken on top then cover with the tomato and artichoke mixture. Top with some extra feta. Hummus makes a nice addition too.