At least part of the answer lies in your competitive landscape. If you properly optimize just a couple variations as primary phrases, add in other variations as secondary phrases to include within the content, get inbound links spread across both the primary and secondary, you should show up for several if not all of the variations you've listed.
Where the competitive landscape factor comes in is this. If you choose options 1 & 2 as your primary, then 3, 4 and 5 as your secondary, and any competitor targets 3 & 4 as their primary and does full on optimization, they'll likely rank higher for those. But that's only if all other factors are equal.
The best way to deal with this and not end up in a vicious cycle, is to leverage PPC ads on the full spread while you focus SEO as I've suggested.
If the organic competition is weak, you won't have as much of a battle.
Oh - I forgot to mention that I know this because I've worked on U.S. based rental sites - one of the largest regional rental sites, and one of the top two national sites.