Bathroom installation

[HEATMYARSE]

Can anyone please recommend a good building & plumbing contractor who might be able to install a new shower-room? I know a couple of decent plumbers but they're sole-traders and the job is too big for them as it will involve some construction and electrical work as well as plumbing. I've also been on to a few bigger plumbing and building concerns but it seems my job isn't quite big enough to interest them; I get the impression that 'plumbing' is now largely the preserve of the aforementioned sole-traders with the bigger outfits all rebranding as 'heating engineers' because that's where the real money is. All of which leaves me still searching for a good local generalist building, plumbing & electrical firm. Grateful for any recommendations? Thanks.