Well if you take a look at the Brooks article, there's a bit in there that says the Rangers' "objective is to add young NHL or NHL-ready players every bit as much as garnering additional selections in upcoming entry drafts" and another line referencing that they don't intend to head down a years-long rebuild where they're hunting for lottery picks.
So my best guess is that the Rangers are hoping to be back in the playoff hunt in the 2019-2020 season. They have the advantage of a number of quality young players on the roster as it stands right now, and guys like Chytil and Andersson looking like they'll be vying for jobs next fall -- perhaps sooner if we see a mass-exodus before the trade deadline.
With all that in mind, I would look at it like this: Deal the pending UFA's at the deadline. If a team is willing to pony up for Zucc or McDonagh at that time, then make those deals as well, otherwise revisit deals leading up to the draft. Hopefully those deals land us a number of picks, but more importantly players who are in their D+1 or D+2 seasons and looking to make the jump to the NHL in the next 12 months. Now you can take a step back and take measure of what you've added, and where your weaknesses are.
For me, the real key to the rebuild comes between July 1st 2018 and July 1st 2019. During this time you'll see how guys like Chytil and Andersson look. You'll see how Skjei looks in a larger role. You'll see what a healthy Shattenkirk looks like. ADA, Pionk, Graves, and Gilmour will have their time to prove themselves or likely get lost in the shuffle. Plus you can see what you have in the pieces you acquired in trades. So if Andersson and Chytil are playing well in the NHL, and they bump a guy like JT Miller out of the top-six, that opens up some options. Maybe you can move Miller in a swap for a defensemen to a team that has a surplus.
Then of course you enter into the summer of 2019 which has a strong UFA class coming up. I'd be surprised if the team didn't use that period to try and fill some holes that remain.
To wrap up, that's kind of my vision for it. I obviously have no insight into what the Rangers' brass is actually thinking, but to me it seems like a reasonable plan of action.
Edit: Also, welcome to the board.