I feel sad for not dedicating time to worship during Ramadan because of my responsibilities!

Peace be upon you and God's mercy and blessings. Every year in Ramadan I used to maintain the Taraweeh and Tahajjud prayers, but this year I'm very sad because I can't go. My sister has three-month-old twins, and currently no one is taking care of them except me and her. I have my job and my university studies, and the rest of my day is spent with the children. I feel regret when the time for Taraweeh prayer comes because I can't even pray at home. I don't have a moment of free time because the children are constantly crying. I'm not upset about being with the children-I love them a lot and I'm happy they are here-but I am upset that I don't have the time. My question is: Is a person rewarded for the intention alone? Or is the reward for me sitting with the children greater? I really feel very sad...