This subject has been discussed numerous times on the General Genalogy forum.It is the first forum on the list where you found the Tips to which you have posted.
I would not consider laminating anything that I expect to endure.Over time, the laminate material discolors and becomes brittle.The items are almost always unsalvageable.
Regarding the tape, I would first ask a library or the state archives what they suggest.I was once told by the state archivist in Texas that using a hairdryer to "melt" the adhesive on the tape and then being very, very careful to remove only a small bit at a time might work.A library told me to put it in the freezer for a couple of hours.Quite honestly, neither of these methods worked very well for me.I let the tape dry up and then it removed itself, but it did leave an unsightly mark on the documents.
I have found nothing that safely removes items that have been pasted to a page -or in a book - that works, and libraries and archives have been of no help in that area.My father's oldest brother had a hard-bound arithmetic book.My father, as a very young boy, pasted postage stamps into the book with flour paste.In so doing, he ruined both the stamps and the book. That was 100 years ago.
You can go to the general genealogy forum mentioned in the first paragraph of this post.In the "Jump To" box upper right of screen, type in 36515 to read one thread regarding how to save newspaper articles. If you are wary of trusting any method others suggest, try it out on an unimportant item first. When I first learned of the process using club soda and antiacids, I did that. Those articles sat there for nearly 30 years before I trusted the process.