This apartment has mentioned several times that it is suitable for students from KCL and LSE.

I understand that you want a place within walking distance to the school and around the two hundred range, and you also want the house to be nice-looking. Let's take a look at this option below: Just to clarify, this one is not within walking distance to KCL or LSE. It is located near Whitechapel, and you can take a bus or the subway to get to the school. Both KCL and LSE are easily accessible with a travel time of approximately 20 minutes. Actually, if you're looking for an affordable and nice place, don't just focus on the immediate vicinity of the school. Take a look further out, and you'll discover that there are plenty of options available everywhere.