SSRs are highly polymorphic, inherited co-dominantly and they are easily reproducible and traceable with simple screening requirements. However, SNPs are rapidly replacing SSRs as the DNA marker of choice for applications in plant breeding and genetics because they are more abundant, stable, amenable to automation, efficient, and increasingly cost-effective.
If there are microsatellites already developed for the species you are going to study, it might be easier (and probably less costly) to obtain results and compare with previous studies.
If not, I would recommend SNPs because you can have a more detailed picture of the genetic structure as several thousand loci can be analyzed. You may also obtain information on selection drivers as some SNPs might be linked to adaptive genes.
During the last two decades, simple sequence repeats (SSRs, also known as microsatellites) and single-nucleotide polymorphisms (SNPs) have become the most popular molecular markers for describing genetic variation in natural populations of a wide range of organisms with different biology.