The earlier you apply the better it is as it will give you more options to choose from, also you can avail discounts and offers.
There are many housing options to choose from, take a look at them and choose wisely.
Vita Student Lewisham Exchange
iQ Hoxton
Scape Canada Water
iQ Shoreditch
Chapter Ealing
Choose your accommodation near your university and choose it in the correct zone so that you can save some money and travel time.
In most cases, your rent includes the utility bills and cost for onsite amenities like a gym swimming pool, etc. Still, it's best to cross-check.