Here's how I normally give report
Name, age, sex (yea, I know, kinda of obvious in 99.999999% of the patients, but it helps with the flow), PMD, C/C, events leading up to the call, history/allergy/medications, exam, treatment, changes.
Good morning, this is John Doe. He's a 70 year old male and a patient of Dr. Spand. We were called to his house for abdominal pain that has been going on for 3 days. He was seen at County two days ago and was discharged. It hasn't gotten better since then, so he wanted to come to Big Private Hospital since this is where his doctor is at. He has a history of DM, CHF, and HTN, no known drug allergies, and he's currently on (I don't know, imagine I put drugs here). On arrival he was [pertinent positive and negatives of your exam]. V/S were [with normal limits/abnormal with (B/P, pul, reps being...) If a long transport, trends?]. We started him on 4 LPM via nasal cannula with no change in route. Any questions? Thanks, sign here.
After a while you'll find your own flow and won't even give a second thought to giving report. The point is to make it so that the people who you are transferring care aren't left with nothing to start from, even if everything you did is going to be rechecked anyways. If it helps, remember, you're telling a story. Every story has a beginning (why does the patient want to go to the hospital), a middle (what you found, did, and the result), and an end (questions?). Also, remember that you can always refer to your run sheet if you don't remember all of your patient's medical history or last V/S/trend.