Although the Wallet website provides most features for managing your wallets, it cannot provide all possible features due to its on-line nature. The most obvious example of this is the ability to link NFC identifiers to wallets.
The full feature set is available in an Android application for devices with NFC hardware, which will default to behavior similar to the website for those that do not. This application is not currently available from the Play Store, but can be downloaded here. As it has not been published to the Play Store, installation requires permission to install from Unknown Sources. This can option can be enabled from the Security menu in the Settings of most Android devices.
Due to technical limitations, an iOS version of the application is not currently under development, nor planned for the foreseeable future. The Wallet website should operate properly on most mobile devices.