Since the judgment is against you personally, and against the LLC, yes they can you personal account as well as the account for the LLC.
Are you the only owner of the new LLC? If so, and although they may need to jump through several additional legal hoops to do so, ultimately they would be able to garnish the new LLC's account too. Limited liability only works one way: it protects you personally from creditors of your LLC, but doesn't protect your LLC from your personal creditors.
So now you are telling me that the judgment is not against you and your wife? In that case, yes, they can only garnish the LLC account.
If it is the same bank, and the LLC is the same name, chances are that the writ will catch both accounts.
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