All 3 of these schools are excellent, so it’s really a matter of which is best for you. We are a George family (so no dog in this fight!), and I have known families that chose George over these choices, chose these over George, and had their kids split between them. Top students at any of these schools will have the same types of excellent opportunities available to them post-high school.
PDS, as a day school, is almost certainly your best choice if you are involved in an EC that requires a serious commitment outside of school. Boarding schools have more requirements around time and involvement on campus, both to keep kids busy and out of trouble as well as to build community. Both BS have a leg up on PDS for community and diversity as neither is restricted by geography.
L’ville can be feel more “intense” while Peddie is probably the “warmest” of the 3.
As for your situation, my personal advice is to carefully evaluate a change. Know what you need, that can’t get it where you are (even creatively), and are sure it’s available where you’re landing. This isn’t just for you but also for admissions success. If there is a way, though, through another avenue, to get what you feel is missing, it might be less disruptive. (I.e., summer programs, enrichment, enrollment elsewhere/online).
If you decide to transfer, you have the benefit of your current experience for context and clarity. In thinking about PDS, consider the whole 4 years, not just first semester freshman year as you consider both your current and prospective options. There are often opportunities to increase rigor as the years progress, and many schools try to ensure that new students aren’t overwhelmed. So your process should also include asking PDS what they can do for you. Know that they will have to be involved in a transfer process and you are more likely to have good support if you try to address what’s wrong with them first.