Emphasizes the ease and suitability of an arrangement within someone's existing plans. Having the meeting online definitely suits my book with the tight schedule.
Pro Tip 2/3
Personal Preference
Highlights a preference or desire; 'suit your book' often aligns with what someone personally prefers. A quiet café to discuss this suits my book perfectly.
Pro Tip 3/3
Flexibility Emphasis
Shows the flexibility of choices; the phrase may imply several options are available and one can choose freely. You pick the venue, just make sure it suits your book.