What to do if your ex suggests staying friends, but you're not sure you want that? How to understand their true intentions?

It's important not to guess but to directly ask the person how they see your communication going forward. This will save time and nerves. Discuss specific details: how you both will feel about new partners, whether hugs are acceptable, how often you want to communicate. If you feel uncomfortable, say so—your boundaries matter, and a good friend will respect them. If friendship doesn't work out, that's okay; maybe you need time to let go of the past. Don't blame yourself; the main thing is to honestly say what you want.