Hiking Czech

https://en.wikipedia.org/wiki/Bohemian_Switzerland
I think you are maybe thinking of this area to the north of the country, lots of places to stay in the area and loads of places to hike.
even from Prague you can do some hiking ,a route I have done a few times is the walk from karlstejn to Beroun via Svaty Jan p Skalou (st John's Under the rock).
Easy to get train to Karlstejn takes 30-40 minutes and then train back from Beroun takes about 50 minutes.
https://en.mapy.cz/turisticka?x=14.1523784&y=49.9564901&z=14&l=0&source=muni&id=3601&q=Karl%C5%A1tejn
Give your self at least 4 hours walking time as there are a few steep bits especially coming out of St Johns and that place is a good stop of point for refreshments nice little hotel there and in the summer time a couple of other places are open.
In Beroun there is a great micro brewery near the train station that does some decent food and excellent beer.
http://www.berounskymedved.com/

The best hiking area is Bohemian Switzerland, on the Czech/German border and just like the German side, Saxon Switzerland, part of the Elbe Sandstone Mountains. I wrote more about this region in your thread in the Germany section.

A similar region, but much smaller and less spectactular, is Bohemian Paradise, halfway between Prague and Liberec. What makes the area special are the numous castles and castle ruins.

To the north of Liberec are the Sudete mountains. If you are familiar with the history of the 20th century, this was the "Sudetenland" before 1945, so historically it's quite interesting. The most interesting mountains there are the Giant Mountains, or Krkonose, which are now divided into a Czech and Polish part. The Polish part is smaller, but historically incredibly interesting, since the foothills were the place where the Prussian and Silesian nobility spent their summers. There are more than 30 castles and palaces, but sadly often in a bad state today, and the huge English landscape parks, which turned the whole area into a huge park, are now mostly gone. But it's still very interesting.

Having said that: by far the best hiking area is Bohemian/Saxon Switzerland, and I would recommend to stay there as long as possible.

Hi from Wisconsin,
Hiking and biking, I know you didn't mention biking, but try researching Nove Mesto na Morave (AKA NMNM). It is Czech place where Czechs go for hiking. Plus NMNM is a nice quiet town with a few good restaurants. The Pansky Dum is a reasonably priced hotel that is centrally located.

wayne INWI

Hiking in Bohemian-Saxon Switzerland is indeed spectacular. Some people with fear of heights don't like it. However it is not dangerous. In potentially dangerous places there is a railing. Or as it was mentioned hiking in the area of Nove Mesto na Morave. Nice part of Bohemian-Moravian Highland. Actually no matter where you are in the Czech Republic there are hiking possibilities nearby. Or if you like more demanding mountain hiking then try Krkonose, Sumava, Jeseniky, Beskydy. Or hike Palava Hills in Moravian wine country. Reminds me little bit of Tuscany. Trails in C.R. are very well marked, hard to get lost. Buy an appropriate tourist map, scale 1:50000 or if they have 1:25000.

As others have mentioned, Bohemian Switzerland is the best known hiking area in the country and certainly the most dramatic.

However, the entire country is covered in hiking (and biking) trails so you can really enjoying whatever destination you choose.

I love the gentle Eagle Mountains (Orlické hory in Czech) in Eastern Bohemia. It is a region practically unknown to foreign tourists but full of beautiful castles, idyllic views, and lovely walks through forests and meadows. I am lucky to have family in the region but the only other tourists I've ever come across have been Dutch. There's enough English-language speakers to get by but you'll definitely have more language adventures than in Western Bohemia, which is so used to foreign visitors.

The hills around the spa towns of Karlovy Vary and Mariánské Lázně are also known for their excellent walking.

I spent some time in Luhačovice (a spa town in Moravia) in 2017 and was really impressed by the number of trails there, too. Moravia is generally quite flat but this area has lovely gentle hills - perfect for hiking in between spa treatments. I stayed at the Hotel Radun and it was superb. Their website is only in Czech but they do speak excellent English at reception and in the (superb) restaurant. It's worth emailing them directly for information if you are interested.

The hiking region still on my list is Šumava National Park in Southwestern Bohemia (along the Bavarian border). It's the wildest area in the country with a huge forest, plenty of wildlife, and lots of hiking trails - and that's about it. If you have a car, I think it would be a spectacular destination.

Happy travels!