Since you didn't mention anything about your motor, I looked up a couple of your posts.
2-1/4" or 2-1/2" tailpipes won't matter much in your case for performance...the smaller tailpipes might be a bit quieter.
Smaller tailpipes used to be common to make the exhaust installation easier.
I can't find it, but a while back I read a good exhaust article on a Pontiac that ran 12.68 with 3" exhaust all the way and when switching out the tailpipes to 2-1/4" his quarter mile time changed to something like 12.71. Exhaust gases cool significantly after the muffler so larger pipes are overkill.
If you wanted to keep the exhaust tips you already bought then personally I would go with 2-1/2" pipes to the mufflers...also with an X-pipe...then 2-1/4" tailpipes out the back.
Otherwise I would run 2-1/2" pipes all the way front to back.
Paul