May I ask - why Desktop and not mobile? Usually desktop is pretty insecure
How can you tell that Desktop wallet is not secure and mobile wallet is secure. because as much i know mobile wallet is more insecure then desktop wallet because if you lose your mobile wallet like mobile getting broken or anything damage then you cannot recover it. But in desktop wallet their are so many ways to secure your account.
I am using myetherwallet and really very satisfied as they give private keys so that we can in control of our account and can access in any ETH wallet.