The LED lighting strips linked will run directly off your DC transformer and can be cut in groups of 3. This would be for buildings.
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Here is how I do individual LEDs. You can also use 3mm ones with 2 leads. I usually use warm white. E0Bay is a good source. Get them direct from China,that is where they are made anyway and save$$$
Either of these LEDs, if the resistor is sized for 12 volts would be dimable from your throttle. You said 12 volts max. Always size resistor for maximum voltage. Since you already have a DC transformer all you need is a resistor. With the strips you don't need one if the max is 12 volts.
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Here is a 3mm one used as a headlamp. With the DC transformer you don't need the rectifier or capacitor.
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Dale H