Seriously considering Catholicism but problem with SOME doctrines. Do you have Tips or Experiences?

I am a baptizer Lutheran and do really believe in God again since last year and I'm figuring out Chridtianity and its denominations. I think the arguments for the Catholic Church are pretty good and also went to my first Mass.

But I do have problems with some teachings of the church. Two examples would be the stricness in not allowing Remarriage at all or not allowing any form of Contraception. And these issues kinda make the decision to convert to Catholicism hard for me.

I'm sure others have struggled while being Catholic or before Conversion. So my question for you be: How do I handle that? What can I do? Should I just convert without agreeing on everything?