According to the RR database, Bastrop County is a subset of the Greater Austin/Travis Regional Radio System (GATRRS). This system is a P25 digital system, so you'll need a P25-capable scanner to listen. Since, as you say, you're not 'a serious scanner hound', probably the best radio for you would be the Uniden BCD436HP,
The "HP" (Home Patrol) line of scanners use a downloaded database of frequencies so that you can simply enter your zip code and scan all systems in your area. You can also select the types of services that interest you and you can, if desired, enter your own agencies of interest.
But be forewarned... modern scanners that are capable of monitoring the new digital trunked radio systems are not inexpensive and can require a bit of a learning curve. In addition, you'll need a PC in order to update the original database or make custom favorites lists. The good news is that you will likley be able to find help, if needed, from the helpful folks here at RR.
Good luck.
John