If you buy a good TV, it will generally compensate for this. Check rtings.com for reviews, there is a judder section that will tell you whether the TV can playback 60i/60p inputs without judder and what settings achieve this.
Many modern TVs do a pretty good job reversing the judder.
Yes and no. Some high end TVs can reverse judder. Many that claim they do, like my high end LG OLED where the feature is called "Real Cinema", can't actually do it from a 1080p/60 or higher signal. So they are really only doing reverse pulldown for example from 720p/60, 1080i/60, or lower. It's clear they are only dealing with HD cable, HD OTA, DVD, etc...Bluray and better don't get the Reverse Pulldown feature.
This is why the rtings website, which is really thorough but also out of date, specifically has two separate columns for judder-free 60p and 60i:
Also note that many/most high end TVs actually don't support either of those two. Mine does not.
Even those that do support it can get confused with mixed content and actually make things worse (mixed content like switching from movie to commercials, or from disc menus to logos to FBI warnings to content). So the real fix here isn't trying to undo the incorrect frame rate, it's to send the correct frame rate in the first place.