It's often the case now that references will simply include the name of where you worked, and your start/end date. Whether your previous employers choose to provide you with a 'bad' reference (i.e. mentioning that you were fired or even mentioning the reason why) is really entirely down the discretion of that employer, although it would be entirely reasonable for them to present the facts.
Your best bet is to stick with those facts and own them, even if you may feel that those facts paint you in a negative light, honesty and a willingness to own your past goes a long way to helping you maintain your professional integrity. If your new employer brings this up with you, then your best course of action is to acknowledge truthfully, avoid making excuses and respond with a minimal, frank appraisal of what happened - If you made mistakes or poor judgement calls, then just admit to that then reassure your new employer that you've learned from the experience, and that you've moved on.
It's important for your new employer to be able to trust you, see you as someone capable of honesty, and as someone who owns their actions and learns from mistakes and negative experiences. As long as they don't see you as being unreliable, dishonest or a potential liability, then there's every chance they'll just be reasonable enough to treat your new job as a clean slate and let you prove your value through your actions and effort in that job.