Best routes to drive from Nebraska to Los Angeles, CA and trying to avoid mountains

[Aw2536]

Hello, I’m planning on moving from Nebraska to Los Angeles in June. I have never driven on mountains before, so will that be apart of my trip? I’m a little afraid of heights and driving on mountains seems so scary. Also, could there possibly be snow anywhere during the trip in that month? I’ll also have time, so time won’t be an issue. In fact, I’m probably going to stretch the trip over three days with no driving at night. So I’ll probably spend the night somewhere after the first 11 hours on the first day. And break up the rest of the trip over the next two days. Or I may just stick to the trip being over two full days. I’ve driven 11 hours straight about four times in my life so that won’t be an issue. All in all, my main concerns are driving through mountains, no matter how high they are.
Thanks!