When you sort by app or developer rather than APK, choose the version of the app you want. Third-party apps have similar collections like this: The UI may not be as friendly as the Play Store, but it gets the job done. Otherwise, grab the APKMirror Installer app from the official APKMirror website. You can download it from the Google Play Store, then use APKMirror Installer to install or update your apps afterward.
APKMirror Installer supports all app file formats, including APKs, so you can safely install your apps. APKs are still popular, but the Google Play Store enforces the use of the Android App Bundles format by default for new apps. With the rise of 'bundling' and split APKs, the original APK format is no longer the default choice for some app developers. You can sideload many Android apps without using a third-party installer, but that's starting to change.