Best shielding against radiation is "lots of hydrogen atoms" ... which conveniently enough translates into L-H2 fuel tanks for our starship engineering purposes. So wrapping fuel tanks around habitable spaces on deck plans is a good idea, so long as you can keep a decent "width" of fuel tankage to keep things relatively efficient from a thermal management perspective (liquid hydrogen likes to "boil off" at some pretty low temperatures).
Yes, and no. Hydrogen is very useful for protecting us from rampaging neutrons, but considerably less so helpful at keeping gamma and X rays at bay. For that, you need (at current technologies) much heavier shielding, such as lead, tungsten, uranium and the like. There's also gadolinium, a markedly less dense material, but I do not know enough about its overall makeup (other than that it's pretty toxic) to know how useful it is as a shielding material or helpful alloy.
In the Far Future, we might be able harness magnetically contained plasma fields to block a whole lot of unpleasant outer space things, including gamma and x rays. In fact, that is pretty much how I currently explain (IMTU) why Traveller power plants are so hydrogen hungry; but us TL 7-8 primitives don't have that option yet, so we must hide behind sheets of metal. Or walls of rock, in the case of planetoid ships.
At any rate, though, inert (not plasma) hydrogen is just not that good for most typical starship radiation hazards, like when the local star decides to go berserk in your face, because high energy neutrons are not really a part of that equation, while sickening blasts of gamma and x ray radiation are. It
is very much helpful, however, for the kinds of hazards that Travellers tend to stumble in to -- such as when your indifferently maintained fusion reactor burps out something unpleasant, or when you happen to find yourself in a dark, interstellar alley somewhere with someone waving a nuke in your face. That's why (at least IMTU) L-Hyd tankage tends to be packed strategically around most Adventure Class ships as additional
ad hoc neutron shielding, both against internal (something gone horribly awry in the engine room) and external (nuclear piracy) threats.
This also means, of course, that there is also a big strategic difference between ships setting out to jump, and those coming in from it. At least for civilian vessels, who either choose not to, or simply can't afford to, invest in more permanent (read: bulky and/or expensive) neutron shielding solutions.