LSA, LDA or NMF in Topic Modeling?
As far as I know LDA is the state of the art approach for topic modeling, but I'm not following the field very closely. So I would say that it's pretty safe to use LDA, and my guess is that the different approaches are likely to give similar results overall.
In case you want to try different methods, the question of evaluating topic models is quite complex. This article might help.
Side note: there is a non-parametric variant (no need to choose the number of topics) of LDA called Hierarchical Dirichlet Processes.