Birth control after baby??

I’m trying to decide what birth control to do... I wanted to get my tubes tied because I don’t want anymore kids I have one already with another due in February. But my doctor told me no as I’m “too young”. I’m 22. It was something I’m really passionate about and kind of set on but it is what it is. 🤷🏻‍♀️ can anyone tell me their experience on IUD, or the bar in your arm (not sure what it was called I forgot the name) or the shot? What was the best for you? The pill never worked for me it made me extremely sick not exactly sure why. I would just love some stories and what worked best ❤️