Let me recommend you Electrum-LTC for desktop. it's a great litecoin wallet.
other than that, online wallets (not secure) I use are block.io
Electrum-LTC is the best light weight LTC wallet you can start with. But unlike bitcoin-core wallet, Litecoin-core will take some 2 to 4 hours only to download entire block chain. So, you can go with Lite-coin itself. Still Electrum-LTC also a good choice.