This article is so full of misinformation (at least the digital stuff) it's shocking. Using Google for email, phone and searches. Seems like an ideal way to end up in prison.
There are three videos by TheHatedOne I'm going to recommend. Two are about protecting yourself at a protest when there are cops with video camera and imsi catchers all around. The third is about being anonymous online.
These should be watched and then read the Markup article for the medical information. I would get a second opinion on the medical in the article considering how bad their digital advice is.
Second video https://www.youtube.com/watch?v=x_5y1jIWPjc How to be anonymous in the streets. These techniques would be useful entering and exiting an abortion clinic encase their are anti-abortion busy bodies there with cameras.
A third video https://www.youtube.com/watch?v=G_QsQp7DyjE Become untraceable, how to create an anonymous identity. This video talking about using tor, obtaining an email account not connected to you,
Rule #1: don't read an article entitled "How Do I Protect My Privacy If I’m Seeking an Abortion?" on the internet with your own computer or cellphone. Borrow someone else's - preferably a man's so you don't end up potentially compromising another woman later - or go to the public library.