Congrats on your new classical guitar !!!
It really makes a huge difference. Which one did you get?
I have had three concert level guitars Ignacio Rosas, Sanzano, and Ruck. I still have two of them. I also have had a few other decent practice grade ones.
In my experience, the finding the right match is more important. Every guitar has different characteristics and so does string, not to mention the player also. You will find these characteristics becoming more visible on better guitars. So I would say try to find the right match between the guitar, strings and you.
Changing the tension usually result changing in the timber of the sound in classical guitar. Yes, it will change the stress on hands , but I found more on tonal color.
My favorite one was Hanabach Blue in the beginning, but it gave me a huge disappointment with the next guitar. I thought I received a badly built guitar for the huge amount of money I spent. I spoke to the luthier about it and he recommend to moving to a different set of string. I moved to Savarez and it made my guitar a completely different one. I was using Daddairo ProArte at some point. I also liked Hanabach Purple on one of my guitars. So, after these experience first thing I do is experimenting different string options when I get my new guitar. I ask for a recommendations to the luthier, also.
There are other variables that affects, but these are my experiences with strings.