The app is Clime Pro on iOS, they lock full access to Hurricane Milton data behind a $10 USD per week paywall.
If you’re in the area impacted by Milton, you can find publicly available resources at the National Hurricane Center’s website: National Hurricane Center
I don’t know about apps, but they ultimately all get it from the National Weather Service. Since it’s a government service, the website is totally free of ads and other garbage. Just use that. Weather.gov. You can search for your home, and since it uses absolute URLs, you can then bookmark the results page and just go straight to that every time.