[A] + 比 + [B] + [adjective] [A] + 比 + [B] + [adjective] + 一点儿 / 得多 / [amount] [A] + 比 + [B] + 更 / 还 + [adjective] [A] + [verb] + 得 + 比 + [B] + [adjective] [A] + 没有 + [B] + (那么) + [adjective]
比 compares two things. A goes first, B goes after 比, and the adjective comes last.
A 比 sentence has no 很, 非常 or 太 in front of the adjective. The comparison already supplies the degree.
How much taller, how much colder – all of it follows the adjective.
更 and 还 are the two words that can go in front of the adjective. Both mean "even", and 还 also says B was already high.
To say A is not as tall as B, use 没有, with 那么 before the adjective if you like.
不比 exists but denies the comparison rather than reversing it: 我不比他高 means "I'm no taller than him", which allows them to be equal.
A verb that describes how something is done takes 得, and the comparison follows it. 比 + B can also go before the verb.