I am referring to form 2106 that would get attached to your 1040 personal tax return.

There could be tax implications if the house were to be sold as far as possibly owing taxes on depreciation costs that may have been deducted. Check with your CPA.

A dba that is filed in one place only gives you the right to use that dba there. If your LLC was formed in Texas and you wanted to do business in Louisiana, you'd have to obtain foreign qualification in Louisiana; in other words, you'd have to to register the LLC as a foreign LLC in Louisiana in order to obtain a certificate of authority to do business there.

If you wanted to do business in Louisiana under a name other than the registered legal name of the LLC, then you'd have to take the extra step of applying for a dba there.