Hi, Annalisa,
I think both of your choices are nice, however, more so for urban use. These are light-ish systems and nice looking, with the Moon Clicc having a very nice, roomy bassinet, and the Balios S being nicely maneuverable and having a practical seat; however, you are saying you want a light stroller that "at the same time can tackle all types of terrain." Well, all types of terrain means also bumps, dirt roads, demanding surfaces, and that means an all-terrani stroller. And those are heavier, bulkier - because they have that solid frame and a lot of suspension which makes them heavier and bulkier, but also more suitable for terrain.
I am saying all that just so you know the stroller will either be light, or all-terrain, and all in between will be a compromise. Just take that into account, and don't expect any of these to be truly super terrain-capable, just moderately alright on occasional bumpiness.
From the two, I would probably go for the Balios S. I mean, it is truly a bit nicer to push and has a more practical seat, which is the part you will use for a much longer time. It will be ok on occasional terrain but not too much and not too heavy.
Apart from that, I would perhaps consider something like the Bumbleride Era or Bumbleride Indie (the second is non-reversible but much more suitable for terrain while not being huge), Concord Wanderer/Concord Camino which is very nice off-road, and from the lighter ones, the Bugaboo Fox is definitely the lightest, even if not tiniest after folding choice which is practical and of quality.