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Ways to set up routers with same SSID

Long, but easy to read:

I’m planning the network for the house I’m blueprinting.

There gonna be three Routers around the house.

Conveniently, the company has a fiber optics Modem with three ports.

Now,

Since the modem has three ports, I was planning on wiring Modem to router A, Modem to router B and Modem to router C

My intention was NOT to wire Modem to A, then from A to B, then from B to C, as some suggestions I’ve been reading.

Can the former be done, leaving the same SSID to all the three routers ?

Will the Modem or Router themselves handle DHCP or other conflicts ?
If not, what should I set ?

For network/printer/scanner compatibility reasons, they must all be on the same subnet.

The routers will each be connected to desktops and phones, so they should each provide wireless AND cabled connection interchangrably (Nothing atypical. Unless they still sell pure wi-fi or pure cabled routers).

At least, that was my plan.

Also, one router I already have, and is a cheap one. Not sure what features it supports, so, for the sake of simplicity, compatibility, and consistency, I’d be thankful if they all received similar settings.

Thank you in advance.

My Plan
Not my Plan