I'm puzzled by "family based fun". Do you mean you have children and want them to be involved on a date, like going to a theme park? Or is just the two of you going to a theme park also family based fun? Maybe you should write about one thing you'd really like to do with her on a date and why. The reason why says more about you, then the actual activity.
I'm not a native English speaker but, "An understanding lady" tells me there is something wrong or weird with you, that she has to accept. You might have a criminal record, terminal illness, …. "A compassionate lady" sounds much more positive to me. She might understand and not feel any compassion.
Being polite can be very unsexy and might distance yourself from her. It's virtual intimacy you want to achieve.
I admire you guts! Good luck finding the right one.
I would have to agree with this. Subtle connotations are critical. It helps if you try to find anything negative you can draw from your profile which isn't true, before you post it. Language is very subtle, and you need to be pin-point in your precision.