Hello,
In my opinion, the app is safe. I use it regularly and haven't lost anything though the app. It's important to note that it's said to avoid transferring gear while dead or in a loading screen.
However, if something does by the off chance happen to go missing, please refer to the page below. More often than not, it'll turn up.
[url=https://www.bungie.net/en/Help/Article/12655][b]https://www.bungie.net/en/Help/Article/12655[/b][/url]
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Thank you for your help! I think I'll start using the Companion then. It'll be so much easier and less time-consuming to swap gear from one character to another. I always seem to forget that one thing while transferring equipment so the app will be very handy!