I've cut out a lot of shows too recently. I just don't have the time. So what I basically did was mentally rank them. If I couldn't wait to watch the latest episode, it stayed. If I found myself being a bit meh about it and only caught up out of boredom or having nothing else to watch, it was likely dropped.
For new shows you haven't watched yet but want to, maybe watch a few trailers and do a mental ranking of them. A lot of the time I usually get recommendations from others as they know what I like and those shows do generally turn out to be keepers!