Deanna offered some good thoughts to consider, BUT it is NOT the same as a rooming house - in my experience.
A rooming house is zoned (& perhaps regulated) differently. It's more "commercial"
In my city, in a single-family residential zone, up to 3 unrelated people can share a home with no change in zoning or special permission needed.
You must check with your city zoning folks - may be able to find it online - to see what if any restrictions would apply to your duplex.
You are correct, in that you can get more rent that way. Young-ish students and interns may like yard care & cleaning service included for their convenience.
There are very different opinions on this - which I'm sure we'll see soon - but it can definitely be successful. I've seen 2 approaches that both work. 1) All 3 on the same Rental agreement - requires them all to move in and out at the same time, which may not happen. (I think this is harder)
2) Each has their own Rental agreement, and their own security deposit. I recommend month-to-month. Every time someone moves, do a thorough inspection of all common areas. Whenever damage is found in a common area, split the bill between all residents - unless one will "fess up" and take responsibility.
I suggest once a prospect has been at least pre-screened, let the current residents be involved in an "interview/meeting" with the prospect to see if they seem OK together. During that time, discuss things like night-owl vs early-bird, taste in music, neat-freak vs pile-file (never dirty), temperature preference. Watch body language & pay close attention to the hesitant responses.
You might also consider something like guaranteeing they will never pay more than 1/2 of the utilities - you would pick up the difference during a ( rare, unexpected) extended vacancy.
Furnishings: Negotiable, but the type of tenant you suggest (young, transitory) would probably appreciate at least basic furnishings.
Someone with kids mixed with students could be challenging, but 2 single parents who put the kids in the third bedroom & work different shifts - trading childcare (for example) could work well. Use your imagination and you'll figure it out and do well.
Best wishes!
--68.10.xxx.x