In an environment with high popular demand, dangerous hackers, transaction spamming, and contentious forks, wallets currently need the following features to be reasonable:
1.dynamic fee estimation (preferably using 0.15's new algorithm)
2.manual fee override
3.RBF (for sender to try several low-fee attempts despite a deadline)
4.CPFP (for when the receiver wants to help confirm a transaction sent with a low fee)
5.SegWit support
6.block header monitoring (for general fork awareness)
7.direct connection to one or more private bitcoind servers
8.Tor support
9.Bcash-altcoin sweeping
10.(coming soon) Segwit2X-altcoin sweeping
11.either secure element support or external hardware wallet support
12.message signing support (useful for setting up deals or doing coin voting)
On Android, Electrum is consistently writing good features but places a lot of trust in their servers (although you can point to your own machine). GreenAddress always has updated safe features (but their 2fa interface is complicated and should be less in your face, since it's optional). Samourai Wallet promises to keep you off altcoins.
Of the above, only GreenAddress is available on the iPhone.
I used to recommend Mycelium, Breadwallet, and CoPay, but they've all failed important tests above. Even GreenAddress's optional 2fa is failing some customers trying to extract their Bcash.
I have considered only phone wallets above. For normal people, phones are more likely to be secure than desktops. But if you own more than you want to walk around with (secured by the phone's lockscreen and a spending pin), and can secure an offline computer, then you'll end up using either bitcoind or Armory. Old timers will know that already. Normal people will buy a Trezor or a Ledger Nano S.
edit: name fix
edit2: was missing from the list: manual fee override, direct conneciton to private bitcoind.
late edits: notes about Armory and my focus on phones. add signing messages feature. note GreenAddress Bcash problems, add Tor.
source
reddit.com