Good news! This is not so hard. :)
Create a view that you will use as your front page. Have it grab and display the single node that you want along with it's comments. Then, under filter, pick node: Post Date and do greater than -1 and less than +1 days.
Here's an example:
Basic settings
Name: Defaults
Title: None
Style: Unformatted
Row style: Fields
Use AJAX: No
Use pager: No
Items to display: 1
More link: No
Distinct: No
Access: Unrestricted
Caching: None
Exposed form in block: No
Header: None
Footer: None
Empty text: None
CSS class: None
Theme: Information
--
Relationships
None defined
--
Arguments
None defined
--
Fields
Node: Title Title
Node: Post date Post date
Node: Body
Node: Last comment time Last comment time
Node: Add comment link Add comment
Node: Comment count Comment count
Comment: Title
Comment: Author Author
Comment: Body
--
Sort criteria
None defined
--
Filters
Node: Post date > -1 day
Node: Post date