If your application is under VB6 (not VB3) then I strongly recommend that do the redesign to a class hierarchy in VB6 first. The reason for this is that in any conversion you try to preserve the behavior of the old application. Is stretches out the project time to do this and do a redesign at the same time.
By making the design changes in the applications original language first then you are assured that any bugs that result are due to the design not the conversion.
I done three major conversions of our software in the past 20 years; (DOS to VB3) (VB3 to object oriented design in VB6) and (VB6 to VB.NET).
Finally it is straight forward to make a design in VB6 that is ports over to VB.NET readily. The trick is to hide the specific VB6 APIs and constructs behind a interface (graphics, printing, etc)>
When do the conversion I recommend working from the top down. Change over your forms first to .NET which calls the VB6 COM DLLs. Then convert each layer over until you reach the bottom DLLs.
Again, if you try to change the design AND convert to another language for any complex application you will double the conversion time.