Daedalus wallet is one of several Daedalus wallet editions that is used on the Cardano blockchain. It is a software application for use on computers, there is no mobile version. Daedalus is the original wallet released for the launch of the Cardano blockchain in 2017.
Daedalus is only available for download at https://daedaluswallet.io/#download
Pros & Cons
Online wallets are convenient since they give immediate access to your ada, however, like all software they are susceptible to risks like hacking and malware. On the other hand, paper wallets and hardware wallets are less convenient but generally regarded as safer in terms of losing your ada.
Daedalus is a full node wallet, developed by IOHK, which will allow you to store ada, the native cryptocurrency of the Cardano blockchain.
Daedalus is a hierarchical deterministic (HD) wallet, allowing you to create an infinite set of keys from a single seed (we call the seed the Daedalus wallet recovery phrase.)