Is there a way to hide the Android Device Chooser?

Create a run configuration.

Run -> Run Configurations.

Select your project and specify your target and from then on run that configuration when you run that app.

Once you have installed ADT, you need to define an ADT launch configuration, in order for your project to execute itself as an Android executable.

_{(source: google.com)}

---

Then, do not forget to To go in Eclipse->Preferences->Run/Debug->Launching.
In the “Launch Operation” subsection, select “Always launch the previously launched application”:

_{(source: turbulent.ca)}

The key is the very top line in the screen shot of your Android Device Chooser. Notice that it is asking you to select a device compatible with a Google API target. This dialog only ignores your launch preference when the Android version you selected in your project's properties is one of the "GoogleAPIs" type. Choosing one of the Android Open Source Project versions will respect your launching preferences.