I don't think this fork will have any effect on bitcoin price.
Bitcoin went through many forks and after each one it become even stronger. Many forks will happen soon each one of them has a ridiculous name
which proves that it will fail, thus, you don't have to worry since your investment will be safe.
Now to go back to the purpose of this post...
I am using the program "Bitcoin Core" to store my coins, but I was wondering how to collect the new "Super Bitcoin"? I suppose "Bitcoin Core" will not support this new crypto, so I am looking for a good software wallet.
Do installing another wallet requires to re-download the whole blockchain once again?
I think bitcoin core wallet is OK and you will be able to collect your super coins after the fork. Iwill tell you if I find any more information;