Uhmm... yeah, tda2030a DOES indeed accept voltages from +/- 6v to +/- 22v as the datasheet says:
http://www.st.com/web/en/resource/technical/document/datasheet/CD00000129.pdfBut be aware that the chip likes higher voltages.. as +/- 6v you'll barely get a couple of watts out of it.
And no, I wouldn't recommend a 36v centre/center tapped because that would give you about +/- 18v AC rms, which gives you peaks of about 25v, minus a diode drop of about 1v .. so about 24v, which is more than the maximum of 22v recommended.
Even a 32v transformer would be risky because at low currents, the transformer may give up to 5-15% more voltage so again, you will exceed the +/- 22v spec of the chips.
I'd recommend sticking to let's say a maximum of 28v AC rms with center tap. 24v will be fine though.
And be careful with the VA rating of the transformer. The ICs are about 70% efficient, so if you want ... let's say 10w per channel and 20w for subwoofer, that's 40w in total but due to the poor efficiency you'll use about 50 watts of actual power, 10 watts will be turned to heat.
So you have a 24v AC RMS transformer ... 50 watts of power, therefore you'd need a transformer rated for about 60-75VA to get this. If you want to be able to get the max of 18w per channel and 36w for subwoofer, you're looking at 100-120VA rated transformer.
You can use cheaper transformers, for example rated for 20-40VA if you won't turn the volume that high or you will have smaller speakers connected to it.
Heatsink is super important for those 2030A ... as I already mentioned due to low efficiency they will heat up quite well. They MUST be heatsinked.