Depending on what token you're storing there are different wallets for different coins. If you're storing ERC-20 tokens the best wallet that I would suggest would be MYETHERWALLET.com. I had been using it for a couple of months now and did not encountered any issues regarding storing and sending tokens.
Yes me too, I am always using myetherwallet and havent encountered any problem. This is the best wallet for altcoins for me and I dont have plans to shift to other wallet.