Generators are unwelcome on camp sites, and most simply won't allow them at all but maybe the O/P wants to camp off-site, such as at an event.
I've actually not heard of any portable generators that are key-start anyway, only the really large ones that come on their own trailers or industrial ones that take 4 people to lift. All the ones I have come across, including my own which produces 2.5kw, have a pull-cord to start. Mine is semi-industrial too.
Amazing family weekend with old steam engines, classic car displays, market stalls, and full catering and bar. And camping on site - Save £25 by booking in advance.