Changing Allegiance What Happen To Your MH Storage

Hello^^

Just a short question, since i can't find an answer anywhere.
I'm actually from Bastok, and want to change allegiance to get the 10 percent bonus on CP per city missions...But i was wondering, if i switch to windy for exemple; what will happen to my MH storage in Bastok, and my mog house from Bastok in general?
Should i'll still be able to access to my MH storage in Bastok; or is it possible that i'll lost all my items from this storage (since i'm changing allegiance)?
Is there some kind of "automatic" transfer from MH storage in my new main residence country?
And finally; when i'll come back to Bastok (which i will, for sure^^); is it possible to get my MH back as it was before changing allegiance?
Thx in advance^^

The moghouse is not tied to a nation
it will e the same MH content in your new city after you switched

Ahh ok; thx a lot for the answer; now i can switch city with serenity^^.

The cp bonus thing says nation you are aligned to. I do not think you get a bonus for every nation at same time.

according to bgwiki they each count
https://www.bg-wiki.com/bg/Job_Points

Bastok Missions: Rank 10: +10%
Windurst Missions: Rank 10: +10%
San d'Oria Missions: Rank 10: +10%
Rise of the Zilart Missions: +10%
Chains of Promathia Missions: +10%
Wings of the Goddess Missions: +10%
Treasures of Aht Urhgan Missions: +10%
Seekers of Adoulin Missions: +10%
Rhapsodies of Vana'diel Missions: +10%
Total Cumulative Bonus: +90%

where do you see the "alligned to" part?