有点 or 一点

Both mean "a little", but they sit in different places in the sentence.

• 有点(儿) goes before an adjective or a verb of feeling. It describes a state, usually one you don't like: 今天有点冷 (it's a bit cold today), 我有点累 (I'm a bit tired), 我有点担心 (I'm a bit worried).
• 一点(儿) goes after an adjective or verb, in comparisons and requests: 请说慢一点 (please speak a bit more slowly), 这件比那件贵一点 (this one is a bit more expensive).
• 一点(儿) also goes before a noun for a small amount: 我会说一点中文 (I can speak a little Chinese).

So 有点贵 complains that something is pricey, while 贵一点 compares it with something else. After a verb or adjective, 一点 is often shortened to 点(儿): 快点！ The forms with 儿 are more common in the north; both are correct. 有些 can replace 有点, and 一些 or 些 can replace 一点.