The best, non-kyc wallets, such as Sparrow, are not for trading, because they don’t have exchange affiliation; they are for storing and managing your bitcoins the best and safest way.

Same with the best hardware wallets, if you intend to buy sums you consider significant:

https://unchained.com/blog/best-bitcoin-hardware-wallets/?ref=nobsbitcoin.com

Can use all without your own node, but with less privacy, because public nodes will see your txs, and some are likely run by chain surveillance companies.

Bisq is the best non-kyc buying option I’ve seen for Americans, but still clunky, difficult, and for trades of several hundred dollars and up, because requires having some bitcoin already for security deposit and fees. (Can get at local meetup most cities.)

It’s also the most desentralised, and arguably the only one that really is decentralised.

Exchanges that make it fast, easy and inexpensive, are all centralised and kyc.

With self-custody wallets, such as ones mentioned, plan well how you will store the seed backups, before buying.