Get Your Dog Care Questions Answered by Experts
Any blood present from her spay should no longer be bright red in color. This is suggestive of a urinary tract infection with the bright red blood you're seeing. In fact, bichons are pretty commonly afflicted with urinary issues. There's more info for you here: http://bichonhealth.org/HealthInfo/UrinaryStones.htm
The best approach for Kippi is to take her to the vet, ask them to perform a urinalysis and determine what is causing the blood. If she's still urinating and acting playful, as you describe, there's no need to rush to the ER vet this evening; this can wait for tomorrow.
Depending on what is found on her urinalysis, antibiotics and/or a diet change may be needed. I've seen puppies as young as 6 months who've battled urinary crystals and chronic UTI's. If this does just turn out to be a minor infection, do talk to your vet about a PREVENTIVE diet to reduce Kippi's risk of problems. Many bichons, with time, will wind up with urinary stones and the majority of the major cases will require expensive surgery. A preventive diet can save you thousands in the long run.
If my answer has helped you, please take the time to positively rate my service. If you have questions that remain, reply and I will help you further. Best of luck with Miss Kippi <3