Vacation in a new city

I think the first important thing to do when we arrive is buy a good travel guide. In this way we can organize our days and enjoy our free time a lot.
I also would like to visit some big parks and maybe we can rent bicycles, it´s a fun way to enjoy as well.
In the afternoon we can go to the museum. I´m sure it would be exciting to see a famous picture near to us, though I´m not an art expert though.
Finally we can go to dinner at a typical restaurant. After that, we also can go for a walk, go to the pub, meeting new people, know more about the culture of the city etc...

[Very good.  A "funny way" would mean something that was either strange or made you laugh, depending on the context.  I think you just meant that it was fun to do - gave you enjoyment.]