How should I handle the fact that I cheated on my partner after a month of dating?
What prompted you to cheat?
I'd been thinking about it for a while. It's just so I can have a better life.
Even though cheating may benefit you, it emotionally harms the partner that you are in a relationship with and will cause trust issues for them later. Rather than cheat, you should first end a relationship before moving on to another person. While it can still hurt your former partner, it is much less emotional hurt than being cheated on.
I don't respect my partner at all though.
You shouldn't want to cheat on a person that you're romantic with. If you made the commitment to be with someone then you should at least respect them enough not to cheat on them.