I've done it all, as have a lot of us. Learned in a bathroom where I had to completely set up and tear down every time. Fortunately, I didn't have to share the bath with anyone. I've used kitchens and laundry rooms. I have always had the print go directly to a wash, even if it had to be in another room. There might be a "holding" tray for a brief bit, but not hours!
One solution to not having plumbing in the room that's actually dark is to use print processing drums like the unicolor or that ilk. Expose the paper, put the paper in the drum and go to where there is water and counter space and light!
But, I have to agree with Ralph, et al, and encourage you to get plumbed if possible. When one has worked without, it is easy to be "satisfied" to some extent. But even better than plumbing is a dedicated darkroom with plumbing. The whole nine yards. I know it is not always possible, but once you achive this, you will think you have died and gone to photo heaven.
A darkroom is a tool. The right tools don't make you a better photographer, but the right tools make any job easier and more pleasant.
If one wants to work on cars, for instance, one needs more than a couple of wrenches. You need tools and space. Or woodworking. Needs a shop, even if a temporary space (read: garage) and the basic hand and machine tools. Photography really needs more than a camera if you are going to do all the processing and printing yourself. You need the tools and the space.
Just my opinion, but I've got over 40 years in this and I've seen and done both ends of the spectrum. It is worth it!