I am looking to build a portfolio of single and multifamily homes surrounding Dallas but with the unfortunate timing of being let go before doing my first deal, I will have trouble getting a traditional bank loan. 

Before you go the traditional way and get a duplex, decide for yourself whether you want to be an active or passive investor?!

Sounds like the properties would fit traditional financing.  

Do anyone in Texas a process or flowchart to payoff hard money loans (used to purchase rental properties in Dallas Texas) with traditional loans?

Not sure if you are looking for private or traditional lenders, but Lima One Capital is a private lender that does 30 yr loans on investment properties.   

And your rate will also be higher than traditional mortgages too. 

One of them said he does traditional leases just like the US but the other had an interesting work around.

Will traditional suburbia change?

Franklin Synergy-Tiffany MartinReliant Bank-Jonathan WhitehurstCedarstone bank-Mike DixonBankcorp south-Christian DicksonRepublic bank-Doug Jahner

Given the small amount you need, traditional lending options generally won't work.