How far in advance can I plan a date?

You can plan your dates for the current week, which means you have a maximum time window of 7 days. If you are planning a date for Monday, you can set it on Monday, i.e. set it on the same day. If you would like to meet on Sunday, you can already publish your date request on Monday and you have 6 days to receive and select applications and to open chats with the applicants.