If you want to use Serial Monitor for feedback while debugging, it gets more complex. With Nanos, you only have one serial hardware connection.
Best approach? Work out the interaction for one nano using SM, then work out the other using SM, and only when they're both working well, connect RXA - TXB and TXA - RXB, A and B being the designators for your two Nanos.
Search the forum for Serial Basics for more hints.
If Alfa is less than 1 meter from Bravo, I would use I2C communication. Bravo would be the master and Alfa the slave.
Don't worry if the LCD communicates via I2C, I2C supports up to 127 devices.
As @PaulRB suggested, a classic Nano has eight analogue inputs.
So why do you think you need a second Nano.
If A4, A5 are used for the LCD's I2C backpack, then I still wouldn't use a second Nano.
A 74HC4067 (16 channels) or 74HC4051 (8 channels) breakout board is a much easier solution.
Leo..