Mint, thyme and rosemary are three very easy and rustic aromatics to grow. Mint you just plant somewhere sunny in the garden where the rabbits can't get to it and it will overrun your yard if you let it in a few years times. It's basically a noxious weed if left to it's own devices after the initial grow, so you still have to be careful to harvest the leaves regularly and pull out young unwanted shoots in the spring. My old neighbour planted some spearmint years ago in her garden and I now have some sprouting randomly in my yard every spring. It also has started to grow in wooden areas more than a hundred feet from the initial site.
Thyme is basically plant and forget: it doesn't like much moisture, so all it needs is basically sun, some balanced and drained soil and some light watering in the first weeks. Rosemary is also the same, altough it needs a bit more care, and can grow to huge, invasive proportions, meaning an ample harvest (it is a bush after all). I have not yet fed any to my rabbit since it is very strong tasting and I'm sticking to sweet basil at the moment.
I know some people have okay success with aromatics in pots inisde on a windowsill or on the balcony, but there's no substitute to planting in the ground.