First of all, I want you to know that you are so strong. You are dealing with two difficult things, which is your mental health and a love life and I know from experience that this is not an easy task. I know it is hard to balance these things, but if you have the right balance, you will be just fine.
I want to say right off the bat that having a relationship, or even maintaining a social life, is hard if your mental health is not at its best. You might end up in a situation where your friends or significant other wants to go out, but you are more than comfortable with just staying in. The key to situations like this is communication. If you are struggling with your mental health, you have to talk and express yourself to your partner or friends. Otherwise, they won't understand what you're going through. Talking it out can clear things up for you all and keeping everything that you are dealing with inside will only make matters worse in the long run, so being open with the people in your life is important.
If you are in a relationship, remember that your partner is there to help you. They only want what is best for you. Remember that it is okay to depend on them. Shutting one another out is not healthy in a relationship, and if you feel the need to pull away because that's how your mental health affects you, just express that. If they truly love you, they will understand. They will care and they will help. I am putting emphasis on expression and being open because a lot of the time, having poor mental health can make a person want to shut everything out. If you are having trouble expressing yourself to your partner, maybe seek professional help, or somebody else you trust so that you don't bottle everything up. Remember that you are not alone. You have people who love you and want you to be happy and be yourself.
No matter where you are in life, you should be so proud of yourself for how far you've come. Dealing with your mental health is hard. Please do not forget about self-care. It is important to talk with your partner or to someone else you trust, but stick to who you are. Love yourself. You need to remember that you should be taking the right footsteps to find your own happiness. Your social life and relationship should not stress you out more, so take the time and figure out what is best for you.