Hi @DRC92,
Welcome in the Community !
The choice and analysis of DoE really depend on your prior knowledge about the system, and the number of factors, constraints, randomization restrictions, noise/signal ratio, ...
You mentioned that you may have as little as 2-3 factors and as high as 8-9 factors. Do you already know the influences and importances of all the possible factors in your system ?
If not, I would recommend starting with a Screening design, to detect important effects and factors in your system.
Once these important effects identified, you can then augment your design to add some points to refine your model (and increase predictivity) and optimize your response(s).
Your initial screening design should include as much factors as possible with large factors range, to identify which factor(s) are important and active in your system.
I hope this first answer will help you,
There is no way to know the best á priori. My suggestion is to create multiple DOE options (design multiple experiments). For each experiment, list what potential knowledge you will gain (e.g., what effects can be estimated, what order of model effects can be estimated, what is confounded and what is restricted) and weigh this against the resources you have available. Predict ALL possible outcomes of each experiment, then pick one and run it knowing this may be the first in a series of experiments.