You’ll probably be fine from age 68 as your teaching pension and state pensions will kick in then. The bit to think about is the gap between 60 and 68.
One way of covering this would be to build up a standalone pension pot which is basically just a savings account with tax advantages.
There’s a thing called a SIPP which would be perfect for this (self-invested personal pension). You can set up a direct debit from your current account so money is just redirected into that. The government will top it up by 25% automatically, so for every £80 you pay in the government will add £20.
You have complete control over when to start taking it out, so it’s perfect for bridging the gap until your pension kicks in.
If you want to set up a SIPP there are two main choices you have to make: which platform to use and which funds to invest in.
That’s a bit like having to decide which supermarket to go to and which product to buy. Some products are available at multiple supermarkets.
Popular platforms are ones like Vanguard, Interactive Investor, AJ Bell, Hargreaves Lansdown etc. They all charge a fee for holding your SIPP.
Once you’ve chosen your platform you can start putting money in. You could leave it there as cash but that would be a very poor choice - the idea is to get it to grow and for that you need to invest it in something.
There’s lots of good advice out there to get you started with investing. Meaningful Money has great podcasts teaching you the absolute basics. There are plenty more.