I would like to show a splash screen image. I've read Screen compatibility overview about the different directories (ldpi, mdpi, ...) to create under res/ but I've not understood if, other than creating the same image of 240x320, 320x480 and 480x800 I need to do other things to achieve a good result.
Can anyone suggest me which is the best thing to do?
What you describe is what you need to do. You need an image for each screen pixel density group (ldpi, mdpi, hpdi and poss xhdpi)
Other things you can do?
Think of an Android screen like a resizable web page - they come in various different sizes and shapes, and your layout needs to stretch and adapt for all.