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Instead, I bought what is basically large sheets of plastic wrap that
is stuck to the windows with a very clear film/tape. You basically put
it along the outer portion of the window, stretch the plastic on, and
use a hair dryer to shrink wrap the window. It comes out looking great
and you don't feel any drafts come in off the windows.

Just get the 3M stuff. IMO, "brand x" isn't worth the money saved because
the brand x tape will peel the paint off the window trim at the end of the
season. 3M's tape doesn't do that. Also use a heat gun rather than a hair
dryer to tighten up the clear film. Heat guns do a much better job and cost
only around $30.