Go the safer route and purchase a Ledger[1] or Trezor[2] hardware wallet. Not sure if it supports like every single coin you've mentioned, but it's highly likely.
Can anyone recommend the best one for this? Also, do I need to create addresses separately for each of these, or will these apps do it for me?
Each of the coins you've mentioned are in different chains so yea each address should be different. (not to confuse address from the 12-24 word backup)
[1]
https://ledger.com/[2]
https://trezor.io/