For me, most trusted is
1. coinbase.
2. localbitcoins ( well lately not keep here )
You must learn about a hardware and software wallets if don't know about them till this moment. Trust me
You have answered indirectly with your post here bud but this need to be explain him more perfect since he is using the unsafe wallets in the market. I have used the wallet from the past 2 years these wallets got hacked many times but people whoever using it securely will not get any problems.
Suggested wallets.
Ledger Nano s
Trezor
Electrum
Multibit
Bitcoin core
These are really happy to have the funds mate without problem.