I did a worm bin last winter, mainly just for the experience. It seems like that is more a small scale thing, better suited for dealing with your kitchen scraps than for bushels of yard wastes. It was great to have in the winter so as not to have to take kitchen scraps out through the snow and dump them on a frozen pile.
But for your "fairly large veggie garden," I think you are going to want something bigger, like the pallet bins. They don't have to be ugly:
[url=https://www.brookstone.com/deluxe-compost-bin?bkeid=compare%7cmercent%7cgooglebaseads%7csearch&mr:trackingCode=3AF0D1DA-740C-E111-B18D-001B21A69EB0&mr:referralID=NA&mr:adType=pla&gclid=CJfz0M_x560CFYSK4Aodw2Kg3w]fancy compost bin[/url]
(home made fancy compost bins with arbor)
One of the bins I have is just a wire grid bin similar to this:
[url=https://www.whiteflowerfarm.com/7185-product.html?utm_source=rkgkeywords&utm_medium=ppc&utm_campaign=20111101&utm_term=]wire compost bin[/url]
mine is green coated steel wire. It is not fancy, but it is very innocuous in the landscape. The bin kind of disappears visually and it mostly looks like a square pile of leaves.
Not suggesting you should buy something really fancy (unless you have the bucks to spare and really want to
), just throwing some ideas out there, that you might be able to replicate.