The dev team has hired security researchers to and are also themselves looking into the claims about mymonero.com. It could just be fud but they received enough complaints to look into it more deeply. For now though I would just avoid it to be safe. The hardware wallet will be here soon and it is supposed to only be $30 dollars. Using that and connecting to a remote node will be the way to go in the near future if you do not wish to run a full node.
I'm still waiting for the Ledger adding.