There is a new Europe wide standard for the charge point connectors called Type 2. This is NOT compatible with the Twizy. An adaptor is required and these are not currently available, likely to cost around £400 which appears a bit steep for the limited use they would get.
There are still quite a few 3 pin sockets around but a lot will be upgraded! ie. Put out of use to a Twizy.
It is muted that the next generation of Twizy will have a different charge connector, but it is not clear if this is Type 2 or not. This does not help us now.
You are brave wanting to take the Twizy any distance and on a Motorway. Do you really want to sit and wait hours for a charge, part way? I’m happy to take mine full range point to point knowing I can charge there before returning, but sitting and waiting would be a pain. ie. There are 10 charge points at Meadowhall in Sheffield, these are well within reach and allow a comfortable round trip, but at least there is something to do while I wait, actually the car will charge quicker than you can walk round the place. This is avoided in the larger EV’s by having rapid charging. These points supply a lot more current than the 10 amps the Twizy can take to quickly charge the battery. The bigger battery in these cars can take 30mins to put in a good charge, ie. just time for a coffee.
The commercial networks require you to join each one and carry lots of cards around. They are slowly merging and sharing the use of the charge points. Whether they are worth joining is a different matter. It will depend on what is around your area.
ZCW and Open Charge Maps list free to use points (point owners do prefer you to use their facility while charging, which can make a charge very expensive), they also label what is there so you can see if it is suitable for a Twizy charge.