If you care of ownership and privacy, you must use DEX and non custodial wallets. The setback is on DEX, you have to pay higher fee. Slippage is high.

If you only care about price and fee, you can use CEX. It's important to note, on CEX, you don't own private key so you don't actually own your coins. If a DEX is shut down, scam exit, whatever, you will lose your coins.

Bitcoin wallets

• J. Lopp - Recommended wallets
• [BIG LIST] Hardware wallets (80+)
• Helpful Guides For Newbie on the Electrum Wallet . It is a good and light Bitcoin wallet. It's non-custodial too but remember to verify your wallet before you use it.

Ethereum wallets

• [BIG LIST] Ethereum Wallets (121 wallet)

More: Best Crypto Wallet Aggregators