What rules govern the ordering of prepositional phrases in a sentence?

[axomna]

When writing a sentence, I sometimes get stuck with the order of prepositional phrases if there happen to be a couple of them in a series. I cannot seem to place them next to the part they intend to modify, which ruins the sentence. I googled this particular problem and watched a few YouTube tutorials, which, unfortunately, has confused the matter further. I want to keep it simple and find out whether there's a way to get it right.
Another problem I have with them is that I sometimes cannot decide whether they should be punctuated or not, to make things clear.

Just to give an example

There was a great interview... 1) of Mary about her book 2) in NYT 3) by John

I cannot put these phrases into their correct order, and punctuate if or where necessary.
Please help. Thanks.
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[Tdol]

I would use interview with and the NYT. I would probably switch 2 & 1, though it's not essential. John without the surname doesn't seem to fit IMO.

 

[Eckaslike]

(Not a Teacher. BrE first language speaker)

I agree with Tdol. Personally I don't think either names work without surnames, unless your readers know instantly who Mary and John are.