Plenty of mud on the Weaver so get a CQR or Danforth about 15Kg. The boat is long, but only 2m beam and there will be few waves on the Weaver. A short length of chain 2-5m perhaps, with a decent rope will be fine (say min 20m with a hard eye splice & shackle or rope to chain splice - Jimmy Green marine supply them ready made).

Why not go thro' the Ship Canal & R Mersey to the Leeds Liverpool canal? With high pressure and decent tidal timing it would be a great trip.