'Would' is a modal verb that talks about prediction, willingness, habits, offers, and requests. It is the past tense of modal verb 'will.' For instance:

'Should' is a modal verb used to talk about assumptions, and give advice. It is the past tense of modal verb 'shall.' For example:

We can use 'would' and 'should' to talk about possibilities. However, there is a small distinction that requires your attention.

We use 'would' and 'should' to make offers and requests.

We use 'would' with 'like' as the main verb to politely offer things:

We also use 'should' in formal contexts (mainly British English) to politely offer others to do something:

'Would' can be used in indirect questions to politely request something:

In formal contexts (especially British English), 'should' can be used to politely ask for something:

'Should' in formal British English can replace 'would' when the subject of the sentence is pronouns 'I' or 'we.'

'Would' and 'should' are both past tenses of 'will' and 'shall' respectively. Watch:

Modal verbs 'would' and 'should' can be used to make negative sentences. To do so, we add 'not' to them as illustrated below:

Here are some examples:

To create interrogative forms, we invert the modal verb. Check out the following examples for clarity:

We can use 'should' to express obligations. Obligations are moral and legal actions that one must undertake. Take a look at these examples:

When we want to show that we want to do something, we can use 'would.' For example:

In this type of conditionals, we talk about hypothetical situations in the present and the future. We can use both 'would' and 'should' to refer to these situations. Have a look:

In this type of conditional, we are talking about an imaginary past that could have happened but never did. In other words, we are talking about what-ifs and lost causes. 'Would' is used in this type of conditionals but we cannot use 'should.' For instance: