Is it a good idea to make one instrumentation amplifier with three operational amplifiers for thermistor sensing circuits?
It is possible, but the CMRR (common mode rejection ratio) will be worse than a monolithic InAmp.  In a monolithic InAmp, the resistors R1-R3 are matched.  Also, they are on the same die at the same temperature.

By the way, the above holds independent of the OpAmp model.

A Designer's Guide to Instrumentation Amplifiers has more on inner workings and rationale behind the design of InAmps.

Building an InAmp with 3 separate OpAmps could be a neat learning exercise**.  You can plug in different OpAmps and compare results.  You can compare CMRR with a factory-made monolithic InAmp.

** As Matt wrote in his comment.  He had beat me to it.