you have a gas boiler that doesn't heat the hot water cylinder
think about fixing that.
If you're relocating the cylinder think about going for a Megaflo or similar. You can expect to need a new, larger cold water supply pipe all the way to the main stop cock, and possibly all the way to the pavement, to get the good pressure and flow it can provide. It can mostly be run in one piece, in flexible plastic pipe. You will then no longer need a cold water tank.
If you do have a cold water tank and a cylinder you can get a pumped shower, but consult an experienced old plumber.
The cold water supply to the loft may be poor, with long, narrow pipes, so there might not be much flow for an electric shower (which does not use stored water).