Some, but not all, therapists are psychologists. Some, but not all, psychologists are therapists. Most states require that to be licensed as a clinical psychologist you must have a doctoral level degree (either PsyD, Doctor of Psychology and a more clinically oriented degree, or PhD which is usually more research focused though it can be in clinical psych).

The only therapists I see are licensed psychologists (who are required to have a doctoral level degree, either PsyD, Doctor of Psychology and a more clinically oriented degree, or PhD which is usually more research focused though it can be in clinical psych).
It's personal preference. I've had bad experiences with LCSWs and I feel like on average someone with a doctoral level degree is better equipped to handle the mess that is my psych issues. Though years in practice probably makes a bigger difference, and there are plenty of terrible PsyDs/PhDs and plenty of really good LCSWs/MFTs/other degrees I can't remember.

For me personally there's also the fact that I'm currently in a PhD program and someone who's done a PhD kind of "gets" what it's like. There are differences between programs depending on the field, but there are also a lot of similarities and it's a pretty unique process and set of stressors and a culture of academia that it's hard to understand unless you've been through it.
I hope that doesn't sound pretentious? Like if I was doing an MSW I might find it helpful to see an LCSW who could "get" what it was like to be in an MSW program in ways that a PsyD/PhD psychologist wouldn't.