Verifiable Employment History

I feel like this should be a simple question, however, I can't seem to get a straight answer from any source I have found so far so here I am. I am working on getting started on my new truck driving career. Planning on going to a company that offers CDL training. I know every company has the requirement asking for verifiable employment history. My problem is I currently have a W2 job but have only been there for three months, prior to that I spent the last 13 years as a stay at home dad and running a landscape business BUT I did all of that work under the table. Long story short, am I going to have an issue getting into a company and most importantly hired by said company because of my lack of verifiable employment?

 

I did not file income taxes, my wife has been the money maker of the house. I am in Fort Worth, TX.

 

The problem I see with WIOA is qualifying since I am financially stable thanks to my wifes income, haven't been laid off, or been on unemployment etc. With that said, paying for CDL School isn't a problem however I don't want to go that route unless I have to and definitely not if I won't be able to get work regardless. You are absolutely right about the stay at home mom vs stay at home dad discrepancy. One would think HR departments would avoid any chance of looking discriminatory. But it is what it is. Thank you for all of your suggestions and knowledge. Much appreciated. Hopefully I find a way to make this work, I have a good driving record, have my med card, about to test for my CLP (which I'm confident I'll pass)... we shall see what happens.