Some people use those truck storage boxes; haven’t seen any with wheels though. You can build a stand for them for height.
I have found these to be the best scoops; http://a.co/fIoy7Uc
Like everything else that you use daily, it needs to last. Mine is about 25 yo. Won’t bend, crack, or break in any way, and you can whack lumps with it.
Any of the bins on a furniture dolly like these:
https://www.harborfreight.com/material-handling/dollies.html
Add a couple of bolts so they won’t slip off and you have a rolling grain bin.
This is one of the things I’ve asked my DH about, but he says that the bolts will tear through the plastic bin? 
He’s not horsey but is convinced that he knows more than I do.
Anyways- I’m tall, and I want my counter top tall, probably about 4’ high or so, I’m liking the open front bins like the burlington that someone posted. I can get them through my work so the price is better, but they still seem high to me. I’m a little nervous about constantly bonking my head on the counter top if I have a tall bin to scoop from. I’m kind of thinking may the long rectangular Rubbermaid totes?
I’m excited, the plumber was there today putting in my little hot water tank, and putting the line in. 
Still have to get the electrician out.
@DoubleDown Is there anywhere else in your room that you can put your feed that will work? I think you are going to find leaning under a counter on a regular basis is going to become a nuisance. Use the space under the counter for storage of other things (maybe put in cupboards or use totes so it is tidy) and put the feed containers somewhere that is not under something you will bonk your head on.
[QUOTE=Bagatelle;n10004981]
“What ever you choose it would be a good idea to try filling them, and scooping out feed, before you build the counter. If the spacing is wrong you could end up banging your knuckles a lot. If you have to pull the bins out from under a counter then that means you must leave a big chunk of empty space for that.”
Our talented barn manager designed a counter with grain bin and bag storage underneath. It is important to make sure the counter is both a comfortable working height and allows proper clearance to scoop from bins below. Our bins sit in a rack that holds them off the floor and at an angle. It makes scooping out much easier. They are still easy to fill, too.
Consider purchasing quality bins with caster wheels. It makes the job easier, every time. ULine or a professional restaurant supply would have some options/ideas.
If I were going for a zero spend option, I like the idea of the dead freezer chest.
