Your instinct to go for exclusion is very sound! Deciding on which exclusion strategy will work best for you is definitely going to be the most effective and sustainable in the long run!
Fortunately rabbits cannot climb, so stout (e.g., welded wire small mesh 1" or smaller so juveniles can't squeeze through) fencing 2' tall can work, but extending it below ground 6-12" and with an outward-facing "apron" to prevent under-digging would be the bonus model. Alternatively, creating smaller cages to cover vulnerable crops can be considered. My colleague David Cowan just shared a photo of a really nice rabbit-excluding cage (attached). Wrapping trunks of vulnerable/young trees with welded wire (hardware cloth with 1/2" or 1" mesh) is another single-plant protection to consider, although some would try commercial tree-guards (flexi plastic) first. 
Also if you're desiring to exclude the rabbits from your whole yard (probably a good choice if at all feasible), and if there's an existing boundary/privacy fence that they're squeezing under:  There are retail-available metal barriers that you pound into the ground - I have no direct experience and cannot make a brand or effectiveness recommendation, but one product name you can Google, just to pull up an image to consider this option, is "Dig Defence".  Folks have used this kind of tool as a first-try to stop nutria from coming into yards, so I would expect it could stop an adult rabbit. Last idea, again depending on your yard's circumstances (size, ability to access power, ability to control undergrowth, etc.), would be electric "chicken fence" around a section of the yard, if doing the full perimeter is too much project before you plant this season. 
I think there will be plus/minus considerations for any of these you want to consider, but hopefully this has provided some helpful food for thought.



I tried to crop the image. Hopefully now it will be small enough to let it display for you!