Yes, truing and aligning a wheel or rim are all different ways of saying the same thing, namely adjusting spokes so that when spun the rim runs straignt and true (no wobble or vertical deflections). I'd stay with the existing wheels as long as they continue to go for a long time between servicing. Expect the rear wheel to need a complete or rebuild before the front, because it has higher stresses, and because it is asymmetrical as to spoke tension, which though necessary is less than ideal.

You could buy replacement wheels but at your budget, I don't thing you'll get much of an improvement in performance or reliability than what you have, so hold off and cross that bridge when you get to it.