If you are looking for paved trails to ride in the Metroplex, you have a lot to choose from. Every corner of DFW has some kind of a paved trail to enjoy. On the Dallas side the trails tend to be more disconnected, although there are plans to link these trails together to enable bike travel across the city. Fort Worth of course has the Trinity Trails, which provide 40+ miles of contiguous trails currently, going all over the Fort Worth area. Some of these trails are built near green belts by creeks, others circle lakes, while others follow power line easements. The one thing these trails have in common is that they are generally always open, even after inclimate weather.
The total number of paved trails in the area would be a massive list. This is not an exhaustive list, and is very much a work in progress. You can heck your local city’s park website for something close to home, and let me know if there are additional trails that we’ve missed that should be added!