If you want to remain as independent as possible from Google, you can obtain apps via alternative channels - e.g. via Accrescent or the GrapheneOS App store.
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You can also obtain most apps via Accrescent, the GrapheneOS App store, F-Droid or Aurora Store without registering with Google or without Google services. Attention! F-Droid and Aurora offer you more privacy but also less app security (weaker app reviewing, no integrity check, some apps could be malicious). Therefore, only use these app stores if you are familiar with the risks. Always prefer Accrescent or the GrapheneOS app store. Although these offer fewer apps, they are verified and have a high level of security.