You should use search option for your question, there is many threads like yours. Also this is not proper board, move this (check move button) to Development & Technical Discussion

Your first choice should be Electrum, it is just what you ask for, it is light ( only need some 40 MB of download after install) , it is easy to use, you are in full control of your private keys and you have backup in form of seed words. Just use link in this post (to avoid fake wallets), create standard wallet and write down seed words ( be very careful with that ). Also set up strong and unique password for wallet.

Armory is not for you since it is also need BitcoinCore to be installed and completely synchronized.