Following the question here, Probability Proportional to Size (PPS) Sampling Method seems appropriate in constructing a sample when the primary units are of different sizes in the target population.
As I understand, this is a self-weighting technique, so does not require any special consideration in the data analysis stage. It is also a probability sampling technique so meets the assumption of correlation and regression models.
I am looking for some good resources that can help me better understand this technique. Perhaps a flowchart that illustrates this method would be great to show to my 'non-statistical' target audience.