Non-uniform cellular automata (nuca) are an extension of cellular automata (ca), which transform cells according to multiple different local rules. A nuca is defined by a configuration of local rules called a local rule distribution. We examine what properties of uniform ca can be recovered by restricting the rule distribution to be (uniformly) recurrent, focusing on only 1D nuca. We show that a bijective nuca with a uniformly recurrent rule distribution is reversible. We also show that if a nuca is surjective and has a recurrent rule distribution, or if it is bijective, then it is balanced. We present an example of a nuca which has a non-empty and non-residual set of equicontinuity points, and one which is not sensitive but has no equicontinuity points. Finally, we show that (positively) expansive nuca are sensitive.