Using wine is not complicated but some games or Applications might not work as expected since Wine is NOT an emulator :)

To install normally you do

sudo apt-get install wine

to install application:
wine Setup.exe

then if everything went ok you should have the Application/Game installed on your wine directory which as a similar layout as in Windows.

cd ~/.wine/drive_c/

then go to the path of the Application/Game

cd Program FilesApplicationXYZ

and run wine *Executable.exe*

For more instructions and help on Bad Piggies with Wine, follow this page which the Wine community maintain.

EDIT

Also as an alternative, since Bad Piggies should not have a big 3D and CPU requirements you could also try to run it on a Virtual Machine. This is usually more easy and if you have a powerful machine you should get also a good performance.