My wife and I will be traveling from the U.S. to UK, Germany, Czech Rep, Poland, Slovakia, and Hungary; Do any of the countries require a Visa?

And you are traveling on the passport of which country?

If you're a US citizen, check the State Department's website. It has specific information for each country.

If you're all Americans, no. If you're not, then you need to check.

I'm a bit concerned that this extremely basic question is one you posed to the forum.

If you are US citizens you do not need visas for Schengen (90 days total) or the UK (6 additional months).

If you are not US citizens we don't have a clue and you need to check with the various government websites.

And agree this is a VERY basic question - unless the trip is in the far distant future.

Do you have your passports?
Have you read any guide books yet?
You have listed 6 different countries - how many weeks would you have for this trip?
And what time of year?