Wonderful cat purse. I don't care for sewing construction much either. I agree with Ann that using a resist will cut down the work and sewing needed. Some people nuno felt the inside with silk or other lightweight fabric for a lining. Then you don't have to sew it.
Here's the purse in my avatar. It's German Shepherd. I wanted splotches of different colours so tried to arrange them in a nice pattern before spraying but crazy how different the colours look before the hair is compacted and meshes together.
One day I will experiment with silk (and maybe actual wool, I've never used it) but I am homeless and struggling, so I just have free fibre from the grooming parlour and donors for now. I appreciate it so much.