If you are going to use my original recommended route avoiding tolls and staying in Lincoln, that would be a good place to jump down to NE-2 to get over to I-29. It cuts out quite a few miles over staying on I-80 to I-29. It's 4 lane divided with grade crossings and traffic lights. Note that Pittsburgh is not along the route, but there are ample hotels along I-80 in western PA.
If you follow my second recommendation with Michael's suggested modification, note that I-680 is now I-880.