Any tips on moving out? Finance advice?

I have money saved and I am continuing to save but I am planning to move out soon.

I only make 45000 a year. But am asking for a raise on my work anniversary and planning to get a part time job.

I save a good amount of money each week for not only retirement but also long term savings.

I am pretty frugal and will be moving in with my boyfriend so we would be doing it together and he makes more than me but still money is a stressor for me at the moment. I know how to cook and we still have some spending money each month but I rather have money in the bank then spend. I like to save and would love to save more if I could only increase my income.

Any tips on moving out for the first time?