I have used mew for long and I have no issues with it as at now. As said above, crypto-noobs spread negative views about this wallet that it is easily hacked with I don't agree with. Most often, after wallet being created, they copy both private keys and public keys(wallet address) to a safe location AND mistakenly copy private keys when asked for public keys when they actually mean wallet address(this term is used to scam people who are inexperienced in the crypto world so take note of that).
My advise is to save only the UTC file it come with and leave the private key on the site, it is an enough safe place for it to be hidden. Then enter utc file and password any time you want to view/ send tokens from mew. Again, never copy and save private keys somewhere as no password is need in addition before accessing your account.
Secondly, metamask is also a perfect ethereum wallet I will recommend, just started using it and no issues as well.