yes i heard too that one should not talk while taking bath. And same goes for when you are doing ablution. Do it quitely and read something like first kalima.
Yes do it quitely as speaking about world (Duniya) is **makrooh **in ablution and there are duas to say during ablution
In beginning: Bismillah he wal hamdo lillah
In Middle: Allahommaghfirli zambi wa wasse li fi daari wa baarik li fi rezqi
After Finish: (looking in the sky) Ash hado Anlaa ilaha Illallaho wahdahu la sharika lahu wa ash hado anna Muhammadan abdo hoo wa rasooluh
Allahumma ja,alni minat,tawwabina wa ja,alni minal muta tahhereen