I stood for the district council when only 32 and with a young family - and was elected. I was a stay at home mum at the time, but went back to work about a year later.
I never planned to go into politics, but was heavily involved in my local community and had successfully run a huge and very publicised campaign to save a much loved local facility. As a result I was very well known locally. Following the successful conclusion of the campaign all the three main parties approached me to ask me to stand for them. It was a hard decision as I wasn’t party savvy at all, so asked each the same question - if I stood for you could I vote according to my conscience or must I vote on party lines? Both Labour and LD said it had to be on party lines but the Conservatives said I could vote according to my conscience as long as I gave a bit of notice - even only 10 minutes would be fine. So I stood as a Conservative, and was elected (but indeed did vote several times with the opposition).
So yes it is possible but - you first need to decide your party, and pay to become a member; then you need to make a bid for a local seat - and get adopted for that seat - and finally you need to win your election.
Do some research on your local council. You can often watch the meetings on line. Look at what wards or division there are, what the last few election results were, (if standing for party A be realistic if party B is the one likely to win) and check what committees they have. Follow the committee meetings - see what you can offer because if selected you will be expected to have some ideas what you might campaign about.
it will help you enormously if you are known locally. You also need to get out and about for your party- helping deliver leaflets, canvassing etc and helping out in other areas too with their elections so you get known and ‘learn your trade’. An election campaign in very hard work and you have to keep your energy up throughout.
If you are in a more rural area then a good way in is a through a parish council. These are non political (unlike the town councils - which still run under parish council rules - but which are usually political).
I love it when folks get involved in politics, the more the better as that’s best for our community - and it’s so rewarding being able to help your local community and to make a difference,