Display content if it is past a specific date during the year

How can I display content based on it being past a certain date during the current year? For example, only display the content when it’s Oct 1 or later during the year. I want to use this to put in a reminder towards the end of the year to renew membership. It might be useful to be able to use ranges, and change the message over time, so starting in October mention that you can renew for the following year, and starting in December switch the message to say they’re running out of time to renew their membership. Thanks.