Generally speaking, (I've been through three now), there is very little smell. But, there is a smell of blood...faint, usually. It depends how clean she keeps herself and if you are helping her keep clean....and, I guess, if she's letting you keep her clean. We make a point of dabbing her rear end every time she gets up from lying or sitting down. The blood tends to puddle after sitting or lying down, so, timing is everything to diminish the amount and therefore the scent.
This heat is different from the rest since we have two other dogs in the house with us now, one male, one female. The new dogs are both neutered, so, it's odd for them. The male has his nose up in my girl's business all the time. They are both curious. Hopefully it won't get into aggression.
Believe me...you will want to bathe her after the event. Just wait a week after she's finished. She'll feel better and you'll feel more confident to take her out, especially to the dog park, though, we waited another three weeks before venturing there. Dog's have a great sense of smell so a bath is necessary before going to the park.
Best of Luck.