I had some ideas for a cart based on the Home Depot green “gardening cart” which we used one season but never really had liked. We still use a grey two level plastic cart which held the robot on the top (with some metal bar supports) and batteries, tools, etc on the bottom. No one really followed thru with my ideas, but each year we get closer to someone building THE cart.
Most of my ideas are based on watching the cart in action in the pit, and may not be practical in reality. As always, design on paper and do plenty of “what ifs” before building!
The platform, as I said, is based on the HD gardening cart without the four removable sides. It has big 10" wheels for stability over uneven surfaces and a steer-bar. The steer-bar has to be removable – in the pit it’s a hazzard when down and in the way when up. Between the wheels down the middle is a slideout tray for batteries and chargers – I figure about 7 or 8 slots maximum, and slide out the back. Between the left and right set of wheels is enough room for two toolboxes.
A lift mechanism is vital. The cart itself is about 14" high; with a robot sitting on it, it’ll have about 6" to spare under a 6’-8" door, which is about the lowest standard door. Yeah, I know: you know a door that’s even lower, but we’re not talking about your grandmother’s house! :p! Most “modern” doors are 7 foot.
But most years it’s not the top of the robot that needs worked on! Bending over or squatting isn’t the best way to work. Here’s where my design needs more field work – use a x-cross scissor-lift inside the robot wheels. Use student power to do the lifting and lowering – there should be plenty of them in the pit anyway. I’d tell you more but the patent papers and the design aren’t complete. 
Why inside the wheels? More for simplicity and out-of-the-way-ness. All you need is a frame that supports the robot on the robot frame, not the wheels. And if you have to change a wheel, the cart isn’t in the way. As I drew it out it lifts the robot to about 38" up, not exactly eye level to the wheels, but good enough. I also figure that while the lift part can be standardized, the actual under-robot supports will change from year to year, depending how the robot undercarriage is arranged.
Still when carrying the robot the cart is still mostly hidden, as it should be, and it’s minimal size should allow it to fit in the crate.