You can try spending time together with them in ways which will get you to become closer. One way I know that people get closer, is when they eat together. If you eat together, especially from the same plate. It creates a sense of belonging together and it also creates closeness. A person who seems remote might feel they can break the ice with you.
Or, try playing some games with them. Try a board game, they are really fun and if you play them then you are communicating with one another. You can learn about how your family is much better in this way. It wouldn't hurt to try this. Try Scrabble or some other intellectual game. These games help build up brain power as well.
What about discussing a topic of common interest? Maybe you could bring up something you need help with and as well and ask them to assist you. This way they know you depend on them, and that they can be counted on. This creates a sense of closeness as well.
Otherwise, you can do du'a to Allah by also using verses of the Qur'an which speak about the closeness of family, such as the verses mentioning kinship, the birth of a child, doing good to parents, etc. It is good to focus on certain Ayats of the Qur'an which relate to the issue you are praying for to Allah with. This is how a lot of people who are well aware of the spiritual effects of invoking Allah with certain key words and phrases please Him to the extent that He helps you based on your belief in His words. it is just like invoking Allah by His attributes for whatever issue you have that you invoke Him for help with. For example, Allah is Al-Wadood, (All-Loving), thus, invoke His name Al-Wadood and ask Him to increase love between you and your family members. Allah's Names are the most beautiful names, as He says Himself in Surah Al-Hashr (59). So do try this in your prayers, perhaps Allah's Mercy will descend on you after asking Him enough times, and you and your family will become closer, In sha' Allah.
