My recommendation would be, to avoid 3rd Libraries as much as possible.
Since FMX on Mobile is very volatile and Android/iOS change significantly every 6 months, it is very important not to rely on additional, possibly unstable, external components.
My recommendation would be, to make as much as possible on your own.
I can recommend DelphiWorlds-Kastri as a common life-saver, TMS FNC and other TMS components - since they are quite active,
but I would still reduce any external reference as much as possible.
Moreover, I would not directly try to port a desktop app to mobile.
Better to start clean with a mobile-first app and then put your "desktop" functionality back step-by-step.