For about $200 you can get a Pro water change set-up, just not in your kitchen for obvious space reasons.
1. Move your RO/DI into your garage. (There's various benefits to this, but the most applicable to this post will be apparent shortly)
2. Go to Home Depot and buy a Rubbermaid Brute trashcan with lid. Check the garden section. I have heard that these containers are "food-grade" so you don't need to worry about leeching.
These are about $40.
If you are lucky, you will find the rolling base for the bottom. These trashcans have a built-in spiral adaptor for a Rubbermaid caster accessory. If you can't find this accessory (I haven't yet), then you can get a caster kit that goes under potted plants. Either of these will help you roll this very heavy container when filled with water.
3. Get an RO/DI float valve. Drill it into your new container.
About $15.00
4. Get an additional Eheim 1262 with appropriate tubing in a length sufficient between the garage and your tank. (I would guess 20 feet). About $160 with the tubing.
5. You can mix the water with a MJ 1200 or even the Eheim.
Enjoy your new, remote water pumping station.
I bet you can do water changes in 15 minutes or less now and you will always have water available. If you get any kind of water leaks (like a faulty float valve), you'll be in the garage, so no problem.
Ideally you would get two of these Rubbermaid containers and one would be for fresh (RO/DI) water and the other for salted water.
Obviously, you can remove your old water from your by the siphon method out your back door with about the same length of tubing or by whatever method you already use.