[Noob Question] How to compare lenders, lower rate = better?

Hey guys, I am planning to make my 1st rental property investment in Spring, Texas. However, I have 0 experience with mortgages, and curious to learn what are the caveats ("things that could break") when dealing with mortgages.

The main question I have is: how do you usually compare offers by different lenders, in addition to the rate they provide.

Side note: so far I got a 3.875% fixed-30-year no-point mortgage from Chase. Would also like to have some advice on how can I evaluate if this is a good deal, and how/where to find better deals with a lower rate or smaller risk (if there's any)?

Cheers!