As a new 2LT, how do I introduce myself to my troops?

I think you are overthinking this. Don't force introductions, just meet them in the course of events.

As soon as humanly possible, buy and read Small Unit Leadership by Col Dandridge Malone. It absolutely kills me that this was NOT written by a Marine. Read it once a month for a year. Once a quarter for another year, then once a year until you leave the Army.

I'm going to use USMC alphabet soup terms from 30 years ago, but will try to keep them plain English.

When you take over, there should already be a quarterly or monthly training plan in place, don't go about making a lot of changes, or "re-arranging the furniture" to show it is your platoon now. It is and you don't have to prove it to anyone. Talk to the Company CO and get his assessment of the Platoon, your Platoon Sergeant, Squad Leaders and Team Leaders. It may be tempting to talk to the Company XO or Company HQ SNCO's; don't without the CO's permission. They're his staff not yours. Also find out if there are problems with how the Plt interfaces with the Co HQ for support.

Then talk to your PltSgt get his assessment of the Squad Leaders and Team Leaders ask about superstars. Don't asks about turds, they'll ID themselves or maybe a clean slate will give them a chance to turnaround.

Read the Battalion and Company TEEP (Training and Exercise Plan) plans for as far out as they exist. See if the plt training plan supports the Battalion and Company TEEPs

Spend way more time observing and listening than talking or teaching. In my opinion the best platoon's were the ones where the leaders trained their immediate subordinates. So that no trainer is actually training more than 3-5 trainees. Too many LT's try to put their entire platoon through the advanced MOS course they just completed, with the LT as the primary instructor for everything. If they are sitting in a classroom or on bleachers and you are talking to the entire platoon, no matter what you think you are saying, they are hearing "Go to sleep."

You should be observing your subordinates train their trainees and quality checking, plus making sure it is within doctrine. If it's not get a good explanation why, find out if the variation is uniform to the platoon, company, and battalion. Confer with your plt sgt and your CO.

"Hi, I'm 2LT so and so..." Sir, in all reality, as long as you don't act like a condescending prick you will be okay, I promise. There are few things that are going to happen and they happen to ALL leaders (NCOs and Officers). First, you are not going to get everyone to like you. There will always be someone who doesn't. Second, you shouldn't care about having everyone like you because you aren't there o make friends; you are there to do a job. Lastly, you will be treated like a child by NCOs and this is for a good reason, unless you are prior service you don't know anything... Seriously, you know nothing... Learn from the NCOs and you will do just fine. They won't lead you down the wrong path. Good luck and have fun. Oh, and just a little extra advice: Do not call NCOs by their last name. They earned those stripes. If there is one thing that my peers and I hated it was being called by our last names by new LTs. Call them sergeant, respect goes both ways.

Hello I'm 2LT Miller, I will be your new PL... HUGE pause while eyeballing everyone individually. Then say something cool as shit like, " and if any of you woke up thinking you wanna start shit with me, think twice, because I woke up wishing a motherfucker would." Then just slowly walk away.