Just for dust control... I know what its like working in a small.. "shop" like that lol.
Also a good idea, ALWAYS run your shop vac when you do anything that makes dust. Simple sounding, just something I find myself regretting not doing myself from time to time lol. (bad habbits from going from a huge shop to a little tiny one unfortunately). The tarps will just help keep the dust in one place.
Also, be sure you're AT LEAST wearing a dust mask. They are very cheap, and make yourself feel much much better at the end of a long session.
Im a simple hobbyist, but good baselines to have imo.
edit: Theres TONS of good information on this site, and many great ideas as well. Do yourself a favor and make sure you are reading everything you can find, not just waiting for information to fall in your lap.
As far as clamps go, I HIGHLY suggest investing in some quality pipe clamps... they are unstoppable forces of nature that every wood worker needs in his shop.
Also when youre gluing over sized pieces like that, I like to nail or screw one of the halves on so you have better clamping force. Works well.