If you have enough funds or you are willing to spend some bucks for a hardware wallet like Ledger Nano X/S then go for it. However, if you are short on budget -- you can just use multi asset and a non-custodial mobile wallet like Trustwallet. Both of these supports tons of altcoins.

List of supported alts.
[1] https://trustwallet.com/assets
[2] https://www.ledger.com/supported-crypto-assets

If for instance that the altcoins you have isn't supported by wallets that I have mentioned earlier, your only option is to look at their website and see which specific wallet that supports your holdings.