Firstly, well done. That's a big saving once you make the decision!
I would caution whether saving 2k per month is sustainable.
If you're aim is to buy a property, I'd suggest setting yourself a budget. Work out what the mortgage repayment would be if interest rates were 5%, over 22 year term, as you're already 42.
Set up a regular savings account, and automatically put in that much every month. Don't touch the money in the account.
Check if there's anything else showing up on your bank statements that might be a red flag - 1k transfers to gambling sites, etc.
Make sure your rent payment is easily identified on your statement. The bank will consider this as part of your affordability assessment, but only if you can show it being paid every month.
After 6 months you can start a mortgage application.
You need to work out how you'll have 10% deposit, because that'll take more than 6 months. Together with your monthly savings, there is also the Help to Buy scheme, but the current 'enhanced' HTB is due to expire at the end of the year, although it might be extended in the budget.