Considering I am a new to wet shaving, is there any particular order I should try to use my blades?
Yes there is.
What you need to figure out first is if mild blades, or sharp blades, or something in between, works best with your own razor / hair / skin sensitivity.
Ideally you want blades with consistent sharpness across several shaves. Many blades are not very consistent. That will make it hard to judge what works best.
I chose three blades - mild, average and sharp - based on this blade sharpness study and taking the best options from your list. You'll need to buy some Derby Extra if you want to try a mild blade.
Derby Extra - mild
Astra SP - average
Voskhod* - sharp
*Voskhod are just as sharp as feathers but more consistent.
That's plenty to start out with.