There is a radical difference in the capabilities of the Canon A-610 and the Fuji S-5200/S-5600. Neith of those cameras have a wide angle lens which is most often used for landscapes. The Canon A-610 has only 4X optical zoom while the Fuji has 10X optical zoom and a low light level shooting capability. Can you share with us why you chose these two cameras?
You might want to take a look at the Nikon 5400 selling for about $250 that does have a very nice wide angle capability and would also be ideal for portraits.