Welcome to Android Central! Are you rooted? Because that's the only way you'll actually be able to remove bloatware. Otherwise, all you can do is Disable them in the Settings/Apps menu.
If you're rooted, then yes, it's safe to remove 3rd party apps. But just make sure that it is in fact a 3rd party app--if you remove a Motorola or Android system app thinking that it's a 3rd party app, you could brick the device.