Best Android equivalent for iOS Tab Bar Controller

Use a TabHost

And buy an Android / borrow one from a friend.

Also consider using a TabBar in iOS and using the options menu in Android. So in Android the user pushes/taps the menu button and can navigate from the pop up options menu. In iOS, I have a tab bar for the same navigation choices at the bottom of the screen.

So when the use hits the back button you return from the selected options screen to the Main screen in Android.