How can I connect a portable dishwasher to laundry hookups?
Thank you both for your comments and suggestions! I think I took a similar route to what you did. Here are the parts that made it all happen. This is for the water input. 
And this is for the drain hose. 

For the water input hose, I used a clothes washer size hose (3/4 inch) and converted it down two steps. First to 1/2 inch. Then to 3/8 inch. Then I put a brass barb converter on the end of the water hose from the dishwasher.  

I used a Y splitter at the pipe hookup. 
 

For the drain pipe, I used a regular dishwasher to sink drain pipe, but then left the top open so my washer can drain down the top and the dishwasher drains into the side. 


So far I have ran two cycles with no issues. We'll see how it holds up in the long run!

I took more detailed photos each step of the way, so if anyone is interested in them just let me know! 

Thanks!