Feasibility of taking bike and dog overseas

So I'm trying to figure out the feasibility issue of taking the bike and the dog overseas.  I am thinking of flying from the east coast, possibly Raleigh, to Paris with the bike.  If the dog is alive, that means I take her trailer as well so that means packing that up, packing up the bike PLUS all the panniers and their contents.  Well, I could ship an empty suitcase ahead for the panniers and stuff.  Then I have to have something for the dog as well, and she's small enough that she could probably ride in the plane with me, if I give her something to make her sleep the whole time.  It's all very complicated.  I'm not saying it can't be done, but it's complicated.  Even without the dog, however, I would still have a trailer of some sort.  Although I don't see a need for the trailer in Europe, I have to take it because if everything goes according to the dream wish trip, I won't be returning to Raleigh but to Halifax, and I'll need it as I'm touring down.

Everything would be a little bit easier if the dog weren't still living, but she's 14-16 years old and still thriving with no physical signs of slowing down except her blindness.

When I was looking at the maps today, I was thinking maybe I could take a few days while in France to cycle up to Belgium and the Netherlands.  I mean, heck, they're right there and within easy reach!!!  Since I am hoping to get to the east coast around May 1, I could easily spend 2 weeks in France before crossing the Channel and heading to Scotland and the big bike adventure there.

I'll need to go to my bike shop and talk to them about disassembling and reassembling the bike for transport.  I'll need training to feel VERY confident in that.  I can remove the wheels but that's about it.  It's the derailleur that has me the most concerned.  I also need to make sure I have the correct tools for disassembling the bike.  I know I don't have the right tool for removing the pedals.  Plus the bike will have racks in the front and back that will have to be removed.  I will have to send the bike shipping case ahead too, and it will have to stay with someone in London, as will the suitcase once I have traveled there.  Once I reach Halifax, I guess I will just ship the suitcase and the bike case to someone in my family since carrying them with me on my bike will not be possible.  It's a lot to think about for sure.

Just thinking out loud.