How To Avoid Feeling Awkward, And Be Yourself!
I'm a coach too, and I know this can be uncomfortable! This can feel awkward, weird or even aggressive. You are not alone!
Remember the enrollment conversation is in service to the other person, whether they sign up with you or not. You're not here to "get them to give you money (but be unhappy about it)," you're here to help them create a better future for themselves that happens to include hiring you as their coach.
Don't hide your idiosyncrasies/weirdnesses. Be yourself! Allow your true nature to ensure you're working with exactly the right people. WHO you are and WHY you do what you do are the reason people decide to work with you, NOT what you do or the logistics of the coaching (how many hours/months).
So let your normal (or not so normal) light shine!