Learn Portuguese (Portugal): Queremos alugar um apartamento pequeno.

In Portuguese, the verb ending often tells you who is doing the action. The ending in queremos specifically means 'we want', so the pronoun nós (we) is usually left out unless you want to emphasize it.

Do I need a word for 'to' between queremos and alugar?

No. When you use querer (to want) followed by another action, the second verb just stays in its dictionary form (the infinitive). The word alugar already means 'to rent', so you just put them together as queremos alugar without any extra prepositions.

Why is it apartamento pequeno and not pequeno apartamento?

In Portuguese, descriptive words (adjectives) like pequeno (small) almost always come after the noun they describe. So instead of a small flat, you say a flat small (um apartamento pequeno).

I have also seen the word arrendar for renting. Can I use alugar for an apartment?

Yes! Technically in European Portuguese, arrendar is used for real estate (like apartments and houses) and alugar is for movable things (like cars and bikes). However, in everyday casual conversation, people very often use alugar for apartments too, just like in this sentence.