LED Driver for LED fairy light strands

I bought several of these strands of leds 

http://www.banggood.com/Warm-White-Or-White-10M-100LED-Copper-Wire-LED-String-Lights-Lamp-12V-p-927282.html

I want to wire two of them together to make a chandelier with one dimmable power supply.  Each set comes with a 12 volt dc 1 amp power adapter.

So, do I need a 12 volt dc 2 AMP 24 watt power supply that is dimmable.  I will be going from standard US electric 120 vac. I will be wiring then in parallel so that I don't have to mess with making the strand twice as long and worrying about more resistance.

Mainly all the power supplies I can find are a little higher amps and more wattage. Could that blow them all?
http://www.peaktopeakpower.com/apv-25-12

Any help would be awesome