I am using several wallets. First and my favourite is Blockchain(info). Also using Spectrocoin(com) and Electrum to store small amount for something like everyday needs)
you should really consider moving your funds the other way around, with some wallet backups for your hardware wallets. you might like the convenience of an online wallet service, but that gives you that much less control of your funds. in addition, if you lose or forget your password to these services, your coins are essentially lost for good, although the same holds true for an encrypted hardware wallet. but the main point is that you place your trust in these services, and are at risk if they decide to just up and run. one of the bigger inconveniences, however, is reliability; if the service provider's servers happen to go down, you cannot access your coins until they become available again.