This article is showing a biased sensor bridge.

A more expensive sensor bridge that allowing biasing polarity changing is explained here:

https://www.instructables.com/Biased-Sensor-Bridge/

A cheaper unbiased sensor bridge is shown here:

https://hackaday.io/page/9364-unbiased-sensor-biasing

Step 1: Design the Circuit

I drawn the circuit in PSpice simulation software.

I used Rs1 and Cs to filter power supply oscillations. I also used Rs2 to limit that maximum sensor biasing current.

Step 2: Simulations

Simulations show the differences in output voltages: