The PGDL is from Sept-April, which means you will have about £1600 per month to live on.
You can get a room for £700-£800 per month. I have lived all over London for the last four years, and in general I haven't heard of students having to pay more than around £800-£900, and those students are the ones living in more expensive areas/flats.
That leaves you will £700-£800 per month for bills and other daily expenses. I think that is more than enough to live on. I was only given £10,000 by my firm and paid for rent, and was able to pay my expenses, and even managed to save a bit of money in the end.
You could always get a part-time job or ask your firm for more support if necessary. I think people tend to over-estimate the cost of London. It can really be as expensive or as cheap as you want it to be. Ofc it is more expensive than the rest of the UK, but places like Manchester and Bristol are getting quite expensive now too.
You can save costs in so many ways if you are savy enough.
If you look carefully, you can find quite a lot of good deals for accomodation in London atm due to covid and brexit ect with lots of flats empty and landlords offering reduced rates.
Good luck.
