I've been the Treasurer of a sports club for the last 4 years. It's registered as Community Amateur Sports Club which gives it some tax benefits but isn't a full charity. Income of about £20k, expenditure of about £15k, 100 plus members, own land and property, clubhouse and bar. Not sure how this compares to what you're taking on?
Anyway, before doing anything check you're happy with your personal liabilities in terms of the club (but especially you) being covered if something goes wrong and someone sues. Is it a charity? Is it limited by guarantee? Is it insured? Will you be personally sued?
In terms of the monies, do you just want to keep tabs on the money or will you be expected to file income/expenditure accounts? At it's simplest you could just keep a simple book with 'In' and 'Out' and note everything, keeping a tally at the end of each month.
We produce and audit our accounts which is pretty complex, at least for a non-accountant like me. I basically put all transactions into a massive excel spreadsheet with macros and cross-references going everywhere and it balances the income/expenditure/profit/loss/assets/liabilities etc.
I think it's a bespoke system we use and I wouldn't recommend it. I have a member who's an accountant trying to simplify how we do ours but depending on how complex your needs are there must be things like Sage basic available? Ask your local Council for Voluntary Services what they recommend.