Hi Clark
We have 5 piggies (a neutered boar+ 2 sows group and another 2 sows in a group) so we have 2 runs/hutches for the garden and their Pighouse for night time (wooden playhouse)
Ours wreck the lawn, no doubts about it. Their runs are moved every 3-4 days and they manage to strip the grass (except the buttercups, thankfully they leave them).
When we move them, there are rectangles of ground like locusts have been there.
It doesn't get muddy at the moment , just shorn.
We have an 84" x 48" rabbit run with boxes and a wooden house inside (it does attatch to the side door but getting the ramp at the right angle was a pain so it's easier just to put it inside. It's one of those little hideaway boxes). The 2 sows use this run.
Our trio have a 4'x4' run with a rabbit hutch (4'x2') attatched to hide away. One of my sows doesn;t like sun (ruby eyed Himmy) so she sleeps there in the daytime and grazes at dusk.
We put fitted sheets over the runs and peg them down.
We don't leavbe ours out during the day if no-one is in the house, too many foxes , even during the day they are brazen 
My pigs wouldn't walk about on paving, I've tried the run on the patio, they just sit like blancmanges and whitter.
If you give them cardboard/newspaper and hay they'll sit happily and eat it.
All the tunnels and houses are good fun for them and keeps them active but you need to hose them out (they pee'n'pooh then sit in it )
We have Hop In tunnels (scrubbable) cardboard boxes (throw out) and rubber trugs with a cutout door in the runs.
I've always fancied a door and tunnel (like a catdoor and one of those Runaround tunnels) to connect the Pighouse to the run, but it would need to be secure against predators and how d'you get them out of the tunnel and into their beds?
If I had rabbits, they could have the big concrete area at the end of our garden ,fenced off with a Bunny Shed , and a tunnel to go to the grass run.
But it wouldn't be suitable for the Piggies.
So we have a wrecked garden.
But a small price to pay for sharing our home with these little ratbags 