Photos are easy. First upload to dropbox, google drive, Amazon Prime photos, etc. Lots of others. Then, on the new phone, install the respective cloud storage app and re-download to your new 7 plus. Done.
Are you referring to Apps no longer available for download in the app store? Those older ones pulled from the App store AFAIK will still require you to use a local copy saved on the PC via iTunes AFAIK. Read up on the sync process @ Apple support site before diving in. Also, it's a good idea to save a copy of your phone using iCloud too in case something goes wrong with the local iTunes backups, etc.
For something still available, you do not need to transfer apps when moving to a new iPhone. Just re-download from the app store, or, restore from a backup copy in iCloud.
I have recently upgraded my iPhone 5 to iPhone 7 plus but dont know how to transfer all picture and specific apps directly from my iphone 5 to my iphone 7 plus? i dont wanna use i tunes etc ? is there any other simple way to transfer things?

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