On a site I wish I could recall so I could give them due credit, they described how to make life a little easier. Shut off the water supply to the toilet, drain all the water out of the toilet, raise the seat and line with appropriate bags then lower the seat and "use" like normal. This would feel better than a bucket balancing act.

I would suggest baking soda, cheat kitty litter, sawdust, or even sand to absorb liquids and odor. If the bags you use are thick and bulky you might only use one at a time but if you can layer in several at once, then remove when full (more than 1 use possible?) and place in a bucket kept next to the toilet.