My biggest problem with Bitcoin is, I don't know where the easiest and the safest place to keep it.
I want to use the Bitcoin core, but my PC couldn't handle it. So I use an online wallet, but I don't know if it's safe enough.

why don't you use an SPV (light) wallet.
you can use something like Electrum, it is easy to use and you don't need a huge Hard drive space or bandwidth. it would be less that 40 MB in total size because it only downloads block headers.
and as for security you can create an offline wallet with Electrum and only send the signed transactions on an online computer.
all of these works that you need to do have good step by step walk-throughs and you can ask any additional question that you might have here.