I've found that taking an initial two minutes to show empathy, kindness, and overall sweetness on initially meeting my patients goes a long way. Wrapping them in warm blankets, providing an extra blanket for a family member, tucking them in and fluffing up their pillow all while fussing over them and buttering them up takes very little time and I've noticed that it sets an excellent working relationship between myself and patient/family/etc. From my experience they're typically less demanding, kinder, and more understanding when I try extra hard to make a good first impression because the nurse is so "nice" and they see that you're working hard and the unit is busy.
Whenever I'm caught up I will first make sure the nurses around me don't need help and then I will update my patients on what they are waiting for and the ER flow. I will also do a round to make sure that my patients and beds are clean, that their ice packs/warm packs are fresh, that their blankets aren't wadded up, that family doesn't need a glass of water etc then after that I will sit down and take a breather myself. Its helped me a lot when I've had a notoriously "difficult" patient or "frequent flyer" who has been known to give staff grief. I've only had one truly mean and frustrating patient and I've been working for 10 months now (knock on wood). Just be careful to set clear boundaries so you can still get your work done (ie barring a life or limb situation, I will help you after I am done with my other patient).
Also always ask questions if you're not sure. ALWAYS. And tell the patients what you are doing and why. If your patient is crumping or you have a concern tell those around you so that no-one is caught off guard if/when things go south. Communication is key.
Make sure you ALWAYS have 3 things when you walk into your room (1: suction, 2: O2 on the wall and in a tank under the gurney, 3: ambu bags at my facility every bed has adult peds and neonatal sizes).
Aside from that, everything else just takes time. Ask the nurses around you for tips. Once I established great working relationships with the residents I've also sometimes even asked them which is most important or what they want first when I'm not sure (ie I only have one line and have X, Y, and Z infusions, X and Y are compatible, Z isn't, so while I'm working on a second line for this hard stick patient do you want X and Y, or Z running? Do you care?). I don't do it often, but when I do I've received nothing but "thank you for asking" followed up with recommendations.
Edit: also be diligent in placing your patients into gowns. I've had multiple situations where I found something very concerning that the patient didn't mention while getting them into a gown. Know that clothes, home blankets, and even hospital blankets can hide some very important things if you're not careful and diligent on assessing your patient fully.