If you have a look on the page below on my Twist site Paul, you'll see a flylead method of adapting from one to another. The eZee battery connector is an XLR socket. The text gives you the Maplin part numbers for the XLR connectors.
Alternatively, alongside the fuse on the eZee battery there's space to fit a chassis socket of most types to suit. You could either switch the existing three wires across or just put jumpers across to leave both sockets usable.
Don't forget the centre connector is for the thermistor and you'll need an appropriate NiMh charger to suit the battery's thermistor. Most 36 volt nominal Li-ion chargers cut out at about 41 volts, leaving an NiMh battery undercharged.
The eZee charger has 53 volts quiescent for NiMh headroom, and cuts out on temperature at about 44.5 volts.
Connectors
When opening up the eZee case, it's the base screws first and the base slid off, then the three case screws. There are two u shaped latch plates on each side which you can probe for on one side with a very thin blade and press in to release them as you part the sides , or they just break off which does no harm, except to the warranty.
.