Try Wine. Menu > Software Portal > Search 'wine' > Install; and then put the Adobe Suite DVD, or whatever, and double click on the setup icon as if Windows was. Before, Wine was an emulation program of the Windows API, but now, it run Windows applications natively, so you won't experience slowdown. But, have in mind that not all the application run on wine out of the box. You have (
http://appdb.winehq.org/) database in which you can see which applications run, which version they use, and so on. I know there are specialized companies providing specific wine-based solutions to run Windows applications comfortable in GNU/Linux, such as Cedega (specialized in games) and CrossOver (MS Office, and a couple more). Also I recommend you to keep an eye con an application call 'Wine Doors'.
Welcome!