I contacted you because I was hoping we could get to know each other (a little) better.
I got in touch with you because I thought it would be nice to talk a bit more.
1) I contacted you because I was hoping we could get to know each other (a little) better.
「（もうちょっと）お互いを知れたら良いなと思って連絡したよ。」
get to know each other で「お互いをよく知る・知り合いになる」という意味で、知っていると良い言い回しですよ！
2) I got in touch with you because I thought it would be nice to talk a bit more.
「もうちょっと話せたら良いなと思って連絡したよ。」
It would be nice to talk a bit more. で「もう少し話せたら良いな。」という意味。
ご参考になれば幸いです！
日本 
