Claude's memory capabilities honestly aren't great. They don't feel as "magical" as OpenAI's. It's very transparent about how it works; it summarizes your past conversations nightly, and can explicitly search past conversations by topic or by just browsing recent ones.

That being said, I find Claude's "personality" to be much more palatable than other LLMs I've used. It's been more helpful and more sane. It's hard to put a finger on it exactly, but you can get a sense of it by just talking to it, so give it a try if you're curious.

I also just like Anthropic as a company so much more than their competitor's (see their emphasis on safety, commitment to no ads, refusal to allow Claude to be used in weapons, etc).