Is this wallet safe to store our cryptocurrencies and can be used as an alternative to the unstoppable wallet or trust wallet? Also, the swapping rates I found are better than any other instant exchanges and again it's a decentralized service.
I just checked
https://swap.rabbit.io/ and i don't see how it's supposed to be decentralized service. The page shows that you need to send coin first, which indicate it's custodial centralized exchange. Anyway, unless you're prepared to lose your coin, just use different exchange.