有点儿（original form is 有一点儿）means: have a little bit... which is a verb. Can be followed by adj. adv. noun. Eg: 我有一点儿冷。（I feel little bit cold. Followed by adj.) 这车有一点儿慢。（This car is little bit slow. Followed by adv.) 那家店有一点儿存货，你要吗？( That shop has some left over goods, do you want them? Followed by noun.) 一点儿 means: a little. ( "一" is optional, can just use 点儿 as well.) which is 1. adj. to modify noun. 2. adv. follow adj.or adv. means comparative. Eg: 1. 我们还剩一点儿时间.( We still have some time left. Followed by noun.) 你再盛一点儿汤.( Please get some more soup. Followed by noun.) 2.你有小一点儿的鞋吗? ( Do you have smaller shoes? Follow SMALL and change it to SMALLER) 我今天好一点儿. ( I feel better today. Follow GOOD and change it to BETTER) This is one way to express comparative. Very useful.

有一点儿+adj, adj/v+一点儿

想说"有点儿"，亦或"一点儿"，随您心情而定。

generally, 有点儿 n 一点儿 r the same meaning when they r into a signle sentence. but they r used in different way when they r in a sentenct. such as 有点儿累，有点儿冷，还剩一点儿，暖和一点儿... . here u go. 有点儿 is in the begaining of a sentence, while 一点儿 is not.

just want to add another aspect: 有点儿：有否定义(negative meaning)。 “有点困难”，“有点冷”，“有点饿”。 一点儿：陈述事实.