Forget that battery; it will not be sufficient for your proposed use. It's tiny (35 Ah) and rather expensive for what it is.
At a minimum, I would suggest two 6V GC2 golf cart batteries wired in series; they can be had from Costco or Sam's Club for somewhat less than $100 apiece. This will give you a 12V battery of about 220 Ah capacity, or over six times the power, and they're designed for much more the sort of usage you'll be having rather than the multipurpose battery you linked. (It's worthwhile to ask around at golf cart dealers in the area to see what they're charging for batteries, too; sometimes they'll have deals that are equal to or better than Costco/Sam's Club, and sometimes they won't come close.)
