Lots of way to use a NTC thermistor.
Wheatstone bridge (not invented by Mr Wheatstone) is a bit over kill, if you don't need precise measurements. But is a valid method, if a bit over complicated.
Personally I would use the NTC as the bottom half of a potential divider, where the top resistor gives you (close enough) the middle value of your ADC at the middle of your temperature (in your case 60). Usually you don't need an op-amp with this set up, but you could use one either for isolation or to amplify the variation (if your ADC is a bit coarse for your measurement requirements).
The second part of your question about making the response more linear; NTC tend to be pretty linear themselves, so I would be surprised if that is required. Looking at the data you've supplied about it, it has a nice linear relationship.
If, as I assumed earlier, your feeding it into an ADC of a mirco processor or controller, you can do compensation in software. If you're plugging into some hardware, then you're just looking at a crossing point, which should be simple to calculate.