Hi, I just got got my 1st pedelec (used) and found that the range is inadequate for my needs - I'm getting around a third of the quoted 20 miles with only about 15% use on moderate inclines with pedal assistance (I weigh about 190 lbs). I found out after buying it that it had been stood in a garage for a year. My guess is that this won't have done the SLA batteries any good right?
I'm hoping a battery upgrade will allow me to travel the 14 mile round trip to work but I'm not sure what to go for. The bike is unbranded & made in China & looks like this...

The existing batteries are 36v and rated at 9Ah (but probably not holding that now).
My main question is, are there any complications in switching from Lead Acid to Lithium batteries? I'm aware that it won't be a perfect fit for the battery compartment and the terminal types may be different but I can manage such basic modifications, and I don't mind charging the battery offline.
I've been looking at 'Ping' batteries but the 20Ah unit is quite a bit more expensive than the 15Ah one. Should the 15Ah be sufficient for my trip (6 miles on flat and 0.75 mile moderate incline & back again)?
Lastly, would upgrading to a 48v pack provide a power boost or is it likely to just fry stuff? I don't know anything about the voltage tolerances of the components.
As you can probably tell I'm a bit of a noob to all this so any advice would be greatly appreciated.