MobaXterm stores all session profiles in HKCU\Software\Mobatek\MobaXterm\Sessions. The Arg value contains Base64-encoded session parameters.
To migrate sessions, export HKCU\Software\Mobatek\MobaXterm and import on the target machine.
The portable version (ZIP download) stores all configuration in MobaXterm.ini alongside the executable and creates no registry entries.
MobaXterm Home Edition is free; Professional Edition requires a license key stored in HKCU\Software\Mobatek\MobaXterm\License.
MobaXterm bundles a local terminal environment (Cygwin-based) under its installation directory — these binaries do not create additional registry entries.