In reply to:

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I have been shooting the rear first. I have also been told that by shooting the rear first you were less likely to double, due to the trigger finger not coming back and hitting the rear during recoil. Is my thinking wrong.

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8x,
No, your thinking is not wrong and the truth is that it really doesn't matter which barrel you fire first.
Yes, shooting the left barrel/rear trigger will give less chance of bumping off the other trigger duing recoil.

There is a lot to be said for correctly shaped, spaced and positioned triggers on a 2 trigger double.
My lightweight 470 kicks bloody hard but I have never bumped the rear trigger during recoil, and never doubled that gun.
(I shoot the usual way of right barrel/front trigger first.)
Also, my 470 does not have an articulated/hinged front trigger and I have never been hit by it when firing the left barrel!