I do know that your smile is mesmerizing and picturesque, could I frame it and put it

[B45]

I do know that your smile is mesmerizing and picturesque, could I frame it and put it on my wall?

VS

I do know that your smile is mesmerizing and picturesque. Could I frame it and put it on my wall?

Are both okay here?

 

[emsr2d2]

They are much better as two separate sentences. I would change "I do know that" to "I think" or "I believe". In fact, you could just start with "Your smile ...".

 

[MikeNewYork]

Your first sentence is incorrect. It is a run-on sentence known as a comma splice. I agree with ems's revision.