seems a reasonable price, might be worth looking for someone who is not vat reg, to save a few pounds that way, are you supplying all the materials -the adhesive + grout? if so 4000 would be a fair price without the vat. i,m from s-wales and would consider the job, would need to take a look first just to see, i,m a
tiler and my partern is the plumber + lecy and we (Elegant Tiling) specialise in complete bathroom and wetroom installation so its right up my path, however accomodation in london is not the cheapest, which is my only concern. good luck thou and hopefully you'll get the job done to a high standard soon...