It usually takes a period of time to increase your stamina. I suggest that you first try running for maybe a few weeks to build up a bit of your stamina, after which you can proceed to try High Intensity Interval Training (HIIT), which is more tiring and body taxing than running but can train up more of your stamina.

http://www.ideafit.com/fitness-library/ ... bic-titans

You can try aloha loyang, the place is pretty big and good to relax in.

https://www.aloharesorts.com.sg/home/aloha-loyang/

Perhaps you could

- Visit theme parks/zoo
- have a picnic at maybe east cost park
- go for a run in parks
- catch a move
- do sports together (eg rollerblading/cycling)