If you're not doing any formal statistics on the categories themselves consider doing k-means clustering with 3 clusters. In this case, we are clustering in only one dimension which is the count of reads for each genomic region. After the clustering is done, you can manually determine which cluster is the high/medium/low count cluster.
K-means clustering isn't guaranteed to find the globally best clustering and people usually run it multiple times with different starting points. But I think with only 3 clusters in one dimension you'll find very similar clusters each time.