In Korean, there are many ways to say ‘let’s do [verb]’ to someone.
AV + 아/어/여요!
1. The simplest way is to just conjugate the verb normally, and add some emphasis on it.
우리 햄버거 먹어요! – Let’s eat a hamburger!
AV + (으)시죠!
2. Another way is to use the ending (으)시죠. This is an honorific ending that is slightly more polite than the normal ‘요’ ending since it contains the honorific particle (으)시.
저희 햄버거 드시죠! – Let’s eat a hamburger! (noticed how I used the formal verb 드시다 here instead of 먹다 and the formal term 저희 over 우리).
AV + (ㄹ/을)래요!
3. Another way is use the suggestion ending (ㄹ/을)래요 or (ㄹ/을)실래요 if we add the honorific particle in.
우리 햄버거 드실래요! – Let’s eat a hamburger!
AV + (ㅂ/읍)시다!
4. Another way is to use the ending (ㅂ/읍)시다. This is an honorific ending that looks similar to the honorific conjugation. We can use this when we have a group of people and we want to say to everyone.
저희 햄버거 먹읍시다! – Let’s eat a hamburger!
AV + 자!
5. The most casual ending is 자. We can say this to our close friends or younger people.
우리 햄버거 먹자! – Let’s eat a hamburger!