I also started with midwest cages so I have a bit of experience with maneuvering these off the floor.
Folding plastic and metal tables, such as lifetime brand tables, can be used easily for Midwest cages if you get the proper sized width and length. They have adjustable legs, so you can make it the height you want (I would just unfold the legs without raising them) and allows for storage underneath. (Also easier on your back for cleaning). They go on sale a lot at hardware stores, Amazon and places like Walmart & target.
If you have 2 Midwest in an L shape just get 2 tables and place them the same way underneath. If you connected the cages into a very large square by connecting all the outside panels you can use a wood board over 2 tables situated on each end without having to purchase additional tables.
You can also make a stand out of grids and put the Midwest there as well. I used a coroplast bottom on mine then made a floor out of grids and zip tied this to the sides of the Midwest (2 grids is wider than a single Midwest cage, so you can overlap the grids a bit). I zip tied this to my grid stand.
The reason I made my first c&c cage is because I wanted to make my cage bigger without having table dimensions restricting me. Now I just build my stand straight down from the cage I want and it is very sturdy.