The real problem with Claude for me currently is that it doesn't have full LaTeX support. I use AI's pretty much exclusively to assist with my school work (there's only so many hours in a day and one professor doesn't do his own homeworks before he assigns them) so LaTeX is essential.
With that known, my experience is that ChatGPT is much friendlier. The Claude interface is clunkier and generally less helpful to me. I also appreciate the wider text display in ChatGPT. Generally always my first go and i only go to claude/perplexity when i hit a wall (pretty often) or i run out of free queries for the next couple hours.