Hi Sam,
It sounds like you're in a similar situation to me. I'm also in a flat with very little room to maneuver.
For my first set up I went for
Leyland Home Brew's 33L plastic boiler which is nice and inexpensive. It's
actually the same vessel as their plastic fermenting bucket with a 2400W element and a tap fitted.
It certainly does the job although I found it very slow to bring a full batch to the boil so I'm going to
fit a 2nd element to it before my next brew.
I converted a Thermos cool box into a mash tun following the fabulous instructions on
DaaB's website and I'm not kidding, it works like a dream.
DO NOT be daunted by this. I'm an office monkey with no handyman skills whatsoever and it took
around an hour-and-a-half to complete.
(You will work up a sweat sawing slots in the manifold though

)
A
wort chiller will come in very handy too. Again, these are easily made but I decided to be lazy and
buy mine.
(There are other methods for chilling wort all detailed in this forum)
If you want to batch sparge then you'll need no further equipment, but if you're fly sparging then you
could just start off with a watering can rose. That's what I did and it seemed to do the business.
Can't give a great deal of advice on dispensing at this point. (although you may already have this
covered)
My first brew is conditioning in a pressure barrel as we speak.
Enjoy,
Dave.