Hiya,
Doing a small project myself, and have found that for a very small space I would recommend the GH Waterfarm. Measures 30cm x 30cm x 37cm (H), and is ideal for one large plant, or even two smaller ones, or at a push about four-six seedlings!
If you shop around you can probably pick one up for about £37.50-£42.50 and then p&p on top.
I got one from Greenfields (read some bad threads about them) and one from
Ponics and although they charge £8.50 for delivery, at least it is guaranteed to arrive the next day. What I usually do is make sure that what I'm orderiing is worth the delivery charge (just bought 1x20ltr Ionic Grow and 1x20ltr Bloom! Won't be needing them for a while

).
I've got two plants vegging in one, and three seedlings vegging in the other.
The only extras that I can think of (if you are just starting out without any previous equipment) are just the digital meters to read your solution (EC and pH), clay pebbles, rockwool, propagator, lights, and ventilation.
I know that it may sound a lot, but things like the pebbles, light, and ventilation, you will only have to purchase once.
There are some cheap ready made up kits out there but I preferred to make up my own. That way you know what you're getting.
Anyway whatever you decide, I hope the bud is good and plentiful

.
Happy growing
G