I want to transfer my android internet app info (saved passwords/log on info on browser) I have a note 3 and will be transferring to my note 5 soon.
I want to find out if there is anyway i can just transfer the app with the existing internet browsing info with the login info i already have in the cache.  The cache has not been cleared so I want to directly transfer this to my new phone so i don't have to re-log into and re-enter all my passwords for the sites.

Is there a way to do this?

Just to be clear:
I want to open up my internet app on note 5 as it is on my note 3....so that the login info and stuff is already there so i don't have to find all my logon info again for the sites i visit.

Many thanks!
A solution without root is described in Full Backup of non-rooted devices: using adb backup you can grab all (or selected) apps including their data from your old device, and then restore them to your new device. I'd recommend taking separate backups from all your apps, as adb restore is an all-or-nothing without the possibility to select what to restore – and you probably want a "clean transfer", leaving "garbage" out.

Instructions

So the recommended steps would be:


installing the required ADB stuff to your computer, see Is there a minimal installation of ADB?
performing an ADB backup for all your apps. If you're using Linux on your computer, my tool Adebar can assist you with that, creating shell scripts to backup/restore each single app and more (on Windows, Ultimate Backup Tool might offer something comparable). If not, you can list all apps via adb shell pm list packages &lt;X&gt; (with &lt;X&gt; being -3 for user apps you want to backup including their .apk files, and -s for system apps where you want only the data from – as you couldn't restore the .apk anyway due to read-only /system file system). Then run adb backup -f &lt;appname&gt;.ab -apk &lt;user_app_package_name&gt; for each user app, and adb backup -f &lt;appname&gt;.ab -noapk for each system app. Hint: com.android.sharedstoragebackup will take a while and create a huge file, and you probably can skip that; it's the contents of your SD card(s).
for each backup file you want to transfer to the new device, run adb restore &lt;file.ab&gt; with the new device connected


A few caveats and tricks


apps may opt-out of this backup (ALLOW_BACKUP = FALSE), in which case the backup file will be only 41 bytes large (or 0 bytes). In this case, you cannot transfer the app this way without root tricks.
you could simply do a "full backup" of the entire system, and later pick what to restore with the help of some 3rd party tools – see How do you extract an App's data from a full backup made through “adb backup”? and Partial adb restore


Further readings


Restoring an ADB backup onto a different phone of the same model?
our backup tag-wiki
our adb tag-wiki
if the above sounds "too much", and you want a few selected apps only: my list of backup apps has a.o. Helium mentioned, which might be worth a look then. It does the same as described above, just directly on the Android device.