I think BrdU is very appropriate method. You can follow neurogenesis and even fate of new cells that generated. You can use its very simple kit for detection of BrdU in immunohistocghemistry. We have done BrdU for neurogenesis by Invitrogen kit.
Please remind that as an analog of thymidine, BrdU is a marker for DNA synthesis and not necessarily a marker for cell proliferation. BrdU labels only cells that are synthesizing DNA; thus, it will label cells in the S-phase and the S-phase is a small proportion of the whole cell cycle (Nowakowski et al., 1989). Moreover, despite its extensive usage in conventional cell biology and recent stem cell studies, in the in vivo studies, it has been shown that BrdU is a toxic substance (Gould and Gross, 2002; Nowakowski and Hayes, 2001; Rakic, 2002). We have found very difficult to combine immunofluorence for neuronal markers to BrdU staining so in our study "Vascular and parenchymal lesions along with enhanced neurogenesis characterize the brain of asymptomatic stroke-prone spontaneous hypertensive rats." J Hypertens. 2013 Aug;31(8):1618-28. doi: 10.1097/HJH.0b013e3283619d7f so we have used alternative approaches.
We are currently using BrdU after global ischemia in rats. The best result was achieved by administering BrdU at 300mg.Kg-1.day-1 i.p during 4 days starting from day 4 after recirculation. Immunolabeling is very nice with this protocol. Our immunofluorescence or immunoperoxidase protocols are very similar to Bhakta Prasad Gaire protocol. It works very nicely.