Cat queries

I moved to Sierro a few months ago. There are a myriad of stray cats. No systems seemingly in place... And little or no interest, except to leave them to breed, with a little food left out by 'kind' villagers. A sweet little female  kitten just up and behind my house 'took to me' and has followed me home. I see many others are traumatised and often even rigid after long sleepless nights. I've phoned a few vets who seemingly gave 'no idea what to do'!!?? I don't have a car and so am pretty helpless in this - and stressed beyond... as my UK time is running out. It would appear that the locals generally leave it all to the Brits and expats, to neuter and/or take back to the UK what??? A horror story aktlky. Any advice.help.. . What to do.