I don't know what your setup is, what the layout of the house and yard are, but having had to capture some animals before I would give the general advice of... yes, a box is best, the rabbit is least likely to get a limb stuck and hurt itself when you do manage to trap it that way (vs using somethign like a laundry basket which has holes). But then you need something to slide under the box to seal it off so the rabbit can't leap out when you pick the box up. Plastic sheet, cookie tray, another piece of cardboard, anything like that that is large enough. Just get the box over the rabbit, then lift it up just enough on one edge to start sliding the panel under. Once you get the sheet slid all the way under it's probably easiest to slowly tip the box so it ends rightside up (but keep the top on so scared bunny doesn't make a suicide leap out!) rather than trying to carry it as is, but that kind of depends, you'll have to use your judgment on that, if you have someone to help you hold the box down and your "sheet" is solid and holds the weight fine you could bring it in as is and put it wherever you'll keep the rabbit, and lift the box up to free it.
If you have someone else to help you, trying to lure it with food to a spot and then herd it into a corner is a good tactic. If you get big panels of cardboard it can be easier to herd that way and block the ground so he can't dash right by you and get loose. But, again, you'd need to think of a spot to corner it and trap it. Without a cage meant for trapping, that's likely your best bet. It's going to upset the rabbit, for sure, but that's better than letting him run around and get hit by a car.
I've never caught a rabbit, but that method has worked for other small animals, but it does rely on you having the right space to be able to trap it. Whatever you do just think it through, scared animals are crafty at making a break for it - but if you're one step ahead and have a plan it's doable. Hopefully someone who has actually caught a rabbit can help, but if I were you I would try to trap sooner rather than waiting for more advice later if you do have coyotes and so on - that is assuming you think you can handle it. You could also call animal control in the area too if you don't have the stuff/hands to try it yourself.