First, go look up "sunk cost fallacy." The gil you spent on your house is gone, whether you move to another world or not.

After that, ask yourself: why not simply create a new character on Coeurl?
It costs you nothing.

Yes, you have to level them up from scratch, but the ARR/HW portion goes fast, and it's fun.
And your new character doesn't have to start from scratch: there are ways to transfer some of your current wealth to your new character.

Your new character might be able to get the same name as your current one, if no one has claimed that name on Coeurl.