Eric is the forum expert on e-bikes.
Yes I use an e-bike, it is a little grey as to what is legal as it uses words like continual basis for power, and those made before a set date can have a throttle but little on bike to show build date, so you can get models which are over the 250 watt limit and have a throttle which still works over 4 MPH. Clearly 1000 watt motors are easy to see are illegal but 350 watt not so easy.
I have a folding one, which will fit in my Honda Jazz, fits behind front seats, this means anyone can rescue me, the bike is 24 kg so not light, but have lifted it over a stile.
The motor loses torque under 4 MPH so with hills in Wales not so good as my wife's which is mid motor, so motor drives through the gears, it also is not as good at delivering reduced power to increase range, her Eco, Normal and Boost works far better than my 1 - 5 which in real terms sets the point when assistance stops, hers does not need a throttle as soon as you put weight on pedals it is off, mine without throttle around three bike lengths to cut in, so hard restarting up hill without throttle.
Range is about 25 miles total, and the charging takes around 6 hours, but I have called into the railway and put it on charge to give it a boost. Both the battery can be removed, so only need to take battery into the house, but security on mine is poor, wife's needs key to remove battery, mine only velcro holds it on, why it is fitted with an ignition key I don't know, as you can still pedal it?
Unlike the moped you can pedal it, my Honda P50 when I was a lad it was easier to push it than pedal it. I do turn off motor on the canal tow path.
The speed on the e-bike is limited to 16 MPH with motor assistance, to work out how long it will take, think of 10 MPH average.
I find with motor on I do not use the gears unless very steep, as the motor gives more assistance as you come to raises, I note one has no gears and belt drive which I am sure would work well, but the rider weight limit is low as need to remove part of frame to renew belt.
I am charged £2.50 on the local train, same as a dog, but will only fit in one carrage, with others need to leave it on veranda, it is a heritage railway. 2'6" guage, I like it being able to fold and go in the car, as I can park car and bike is secure, by wife's on the bike rack not keen on leaving car with bike on the back.
Hers cost twice as much as mine, and is clearly a lot better, but mine is more useable, it has large wheels so is more stable to those will small wheels.
If using on canal tow paths be aware ruck sacks with metal frames can knock you off under the arched bridges. Lucky I did not fall in.