I flew the B738 and the real only problem which is not that big of a problem and you will learn it fast in the sim is when you take off to do it smoothly not to tailstrike the crap out of your airplane. That's it
I flew them 2 straight years, the 737 and 738 (700 and 800) and the only problem I ever had was after retracting flaps on a go-around, they stayed at 15 and wouldn't go up any further, so we did a flaps 15 landing, also no problems. That's about it.