Convert Website to WebView App

I want my existing website packaged into a mobile app that simply loads the live site inside a WebView. The key extra requirement is that users must be able to log in once and have their details remembered on future visits, just as they would in a normal browser session.

Please build the app so it can be submitted to the major stores; I’m open to your advice on whether to deliver separate Android and iOS builds or use a single cross-platform framework such as Flutter, React Native, or similar. All core website functions should behave exactly as they do online, including secure pages, forms, and any embedded media.

Deliverables
• Fully compiled installable(s) ready for store submission
• Source code with clear build instructions
• Tested login persistence and session handling
• Brief hand-off note outlining any settings a future developer might need to modify

If anything about the current site could complicate a straight WebView wrap, let me know early so we can adjust.