KeePassDroid is a port of the KeePass Password safe for the Android platform.
If you are seeing crashes, please report them on the issues page. The fastest way to get issues resolved is if you can attach a sanitized version (your sensitive information removed) of your keepass database file.
desktop version of KeePass to convert between these formats.
Dropbox app provides a great way to do this synchronization between desktops and your phone. The Dropbox app on Android doesn't do automatic syncing the same way the desktop version does. I recommend using Dropsync to get automated syncing.