Pumping of thulium-doped fluorozirconate fibre lasers at wavelengths available from semiconductor diodes around 790 nm has enabled continuous wave laser operation at 806 nm, 1.47-mu-m, 1.97-mu-m and 2.3-mu-m, many of which may occur simultaneously. The performance of these laser transitions, including diode-pumped operation of the H-3(4) - H-3(6) transition at 1.97-mu-m, is discussed.