Hey! I would say firstly apply to the Kings Affordable Accommodation Scheme, and then apply to the King's Hardship Fund. I was in the same position as you when I was an incoming fresher. I then got accepted for KAAS which really helped, and then I was given an extra £2000 from the hardship fund which MASSIVELY helped. I've gotten it now every year for being at King's, but unlike the Living Bursary you have to apply for it yourself. The Living Bursary is given to you automatically if KCL deem you eligible. Just be aware you have to apply for the Hardship Fund after you start your time at King's, so it's not something you can do before firming it unfortunately. However, if you show all that budget working out you posted above to them in the application, with bank statements to back it up, then I'm sure they'll be very generous. However, if your parents earn collectively over £50,000 then it's unlikely they'll give a lot.