I suggest you buy a hardware wallet to store your coins. Maybe two if you need a hot wallet for quick transactions. If that's out of your budget, then use open source wallet as mentioned above and run it on a secure device. It might take some time and money to move and organize your funds by doing this but at least you are not depending on a software that may or may not has a backdoor. While Trustwallet has some good features for coins management, don't rely on them if your focus is security.
Users should understand that when security matters trustwallet is not an option to fall on as a user keys stands a chance of being at risk of exposure. Like you pointed above, could it be that it's due to the good and attractive features for coin management that trustwallet comes with is part of what blinds some users on relying on trustwallet as against security of their funds which ought to a first priority before anything else?
Because Trust wallet is not that fully open source, though it claimed itself as an open source wallet.
But it seems good if you will use them temporarily and you can store them for a short period of time but when we are talking about long-term storing of coins --they are not reliable for this matter. A hardware wallet is the best wallet that you can use for storing in a long term, spending an extra amount of around $50-$70 for the hardware wallet sounds good and worth it.
I do not understand why the CEO of Binance promoted this Trust wallet as he said as good to store coins that have to own your private key --perhaps, he has a share in this Trust wallet company?