First you are on holidays and it is perfect to relax here;-) Sport activities are possible as well.
A forest is just 2 minutes away. If you walk through you can easily reach one of the playgrounds which are nearby (max 10 min walk). The second and bigger playground (10 min walk) is in the other direction where you pass the bakery and the butcher in our residential area. You can also use our bikes to get into town where we often have an ice-cream at "Carlo's". In Höchstadt there are also some shops however real "shopping" is better in Erlangen and Nuremberg.
It is about 30 min to Nuremberg and Erlangen, 40 min to Bamberg, 45-60 min to Würzburg and 2 hours to Munich by car. Howeever it is also possible to take the train from Erlangen or maybe Bamberg. By train you can reach Munich in 1 1/2 hour, Franfurt/Main in 2 hours, Leipzig in 3 hours, Berlin in about 4 hours. In Nuremberg there is also an airport from where you can reach many cities in and out of Germany.
Also the Czech republic is not that far away... There are companies in Germany where you can get very easily and cheap to many destinations in and out of Germany (Flixbus).
70 km away (by car) there is an artificial lake called Brombachsee where you can kite and sail. In Höchstadt and surroundings there are many (outdoor) swimming pools. If you like walking/hiking or even climbing it is very easy to do those things in the "Fränkische Schweiz" however we live rural and you can hike even nearby where there are many artificial lakes called "Weiher" where many restaurants around get their carps. The best restaurants with traditional food you can found on www. fraenkisch-gut-geniessen.de however there are also very good restaurants in Höchstadt with traditional and "foreign" food. We love Italian, Indian and Turkish dish and there are many restaurants in Höchstadt and surroundings where you can get it.
In Erlangen, Bamberg and Nuremberg are theatres, cinemas and also an opera house. We weekly get an advertisment with current cultural events...or we use the internet;-)
When the wheater is not that good there is a boulderhall in Dechsendorf, indoor playgrounds...