Turning WILD raspberries into CULTIVATED raspberries??

I have an area of my yard that was previously tilled for traditional gardening (pre-My tenure as caregiver of this land) and the tilling managed to create a massive number of wild raspberries. I've been keeping them cut to the ground (feeding the cuttings to my rabbits). And, then, in a turn of irony, I tried to establish thornless raspberries in another section of the property and those did not take --the blackberries did but not the raspberries.

So, since these wild raspberries are determined to stay -- how can I set up a workable raspberry patch? Do I need to set up a trellis or fence for them to climb on?

The only 'cultivation' I do on my raspberries is cut down the canes... at the appropriate time. Namely after it has produced its crop of fruit (probably only one crop from wild rasps). Leave the rest of the canes.

Oh, and pick and eat the raspberries.