Firstly, you can’t MAKE anyone happy.
Secondly, if as a mum, you are worried about your child’s short term happiness instead of what is in their long-term best interests, I suspect you are going to sleep walk into some discipline issues. I’m certainly not saying you have to be mean, but you need to have consistent boundaries for toddlers. If she bites during a tantrum, be firm: “no biting. Biting hurts mummy and makes mummy sad.” If it happens again, add a consequence “no biting. Biting hurts mummy. If you bite x will/won’t happen” (pick a consequence you are happy with a will follow through on). Don’t lose your cool, don’t shout. Calm and consistent.
Reinforce good behaviour. Explain how it is helpful to you and that it makes you happy. Praise needs to be specific “good girl” doesn’t tell which part of what she did is good. “Thank you x, sitting nicely at the table helps mummy. If I don’t have to clean up food after dinner, I have more time to play with you!” If there’s something you want to encourage, be specific about exactly what you want to see, and exactly what the reward is - “if you put your shoes/coat on with no crying, we will have time to stop at the swings on the way home”.
Give notice before a change of activity to avoid difficult transitions. “In two minutes, we are going to tidy up the play dough, and then we will have lunch”...”one minute till tidy time!”.... “right, now we are going to tidy the play dough and have lunch”. Every time a transition goes smoothly, that needs to be rewarded with a little bit of attention “thank you for doing what I asked so quickly, that’s very helpful”
Use directed choices when possible “it’s time to get dressed. Would you like your green top, or your blue one” rather than always choosing for them, or asking “what would you like to wear”.
I’m not guaranteeing any of this will get you through the terrible twos with perfect ease. But they were all helpful tricks to me! My DD is much much easier now she’s approaching 4. We do still have the odd irrational eruption, but only really when she’s hungry or tired.