I finally came up with the idea of doing the photoshoot under the arcades of an old building near Deak Ferenc ter, in Jozsef Attila utca. As it was overcast, light filtered through the clouds and gave us some nice diffused lights. As for the equipment, I wanted to make it as simple as possible, so I didn't take my strobes whatsoever; I took my Canon eos 60D and a Canon EF 50mm f1.8 lens to get some nice background blur and sharp images.
You can check some photos below: