I'll be honest... The reason I use two different programs is because I've been too lazy to figure out the sharpening functions of Corel... They are there, but the Extensis filter in Photoshop is a no-brain one click thing... For all I know, Corel is the same way, I just haven't gotten to it yet.
Actually, Photoshop Home does have an option for no JPG compression, so the output is good... However, I don't to the resizing with PS Home because sometimes, and for reasons I don't understand, it gives me white borders around the image.
But you're totally correct, I need to sit down and really learn my Corel software better and move away from the PS Home. Just slack I guess!