Work with some qualified professional, i.e. attorney for starters, to help figure out how to structure this partnership.This all being said, figure out if your ~$40k now is sufficient to do anything. 

And if you're trying to go that fast, there will not be sufficient equity after a year to refinance out of FHA concurrent with dropping the mortgage insurance.

Quality over quantity.

Buyer represents to Seller, as of the Date of Offer, that Buyer has sufficient funds available to satisfy the provisions of this subparagraph.

So in my opinion, I would look for a broker that will provide the right balance in terms of sufficient amount of training and a low cost.

A HELOC can be revoked/withdrawn if the bank feels like the situation has changed sufficiently to where the loan amount would be less secured.

Your yearly income must be sufficient to qualify financially for both properties with reserves.  

The presence of an individual residing on the premises who is not a signatory on this lease agreement, or who has not been approved in writing by the Lessor, will be sufficient grounds for termination of this agreement.

Big plus of the no PMI and no self sufficiency test with higher rates and income limit.

Sufficient evidence can be gathered that the dog is indeed being aggressive, and B.