personally, I wouldn't trust them. I couldn't find anything on the site about the company behind it. Apart from some usual self-praise, but not a single document or anything that could indicate that they are doing business legally.
I have to post this, maybe it will be useful to someone else. the first result in the search for the term flyp.me review I got enough information.
I made multiple swaps and the confirmations were counting up - the next day, flyp.me canceled all swaps, without refunding the transfer fees. Also, their support was lying to me. I was a happy customer in the past, but this was the last time I have been using their service.