For transferring of whatsapp messages:
1) Go to your old device's whatsapp, menu > settings >
chat settings > backup conversation. This will take ~2mins.
After its done, ensure that the last backup date written is the
point of time where you press backup.
2) Plug your old and new device into the computer (fastest
way)
3) On your computer, choose internal memory for your old
device.
4) Look for the whatsapp folder and copy/cut the whole folder
(depending if you want to maintain a backup on your old phone or
not, but you will not be able to get access to it once you login
into your new phone)
5) On your computer, choose internal memory for your new device
and paste the whole whatsapp folder here. (Whatsapp will only read
from internal memory, it will not work if this folder is in your SD
card)
6) Download(Or login) whatsapp on your new device.
7) After successfully confirming that you are the account
holder, whatsapp will prompt you with "Back up found, do you want
to restore?" (something along this line). Choose
YES.
8) And wah-lah, your old whatsapp messages are all on your new
devices.
This steps also will transfer the photos sent to your old phone
via whatsapp, however in the personal chat/group chat, the picture
may or may not seemed to blur out due to different file path.
However, you can still find these photos in your photo
albums.
As for SMS, different brands provides with their own internal
brand transfer. Since both your old and new devices are samsung's
you might want to head down to any of their samsung shops to check
out with their brand ambassador. Hope it
helps!