How soon after miscarriage did you ovulate?

First of all, I'm sorry for everyone's losses. I'm currently going through a miscarriage now and while we are so devastated, it doesn't change that we want a baby so bad that it hurts. After 2 years of trying, we are eager to try again asap.

My question is: how soon after your loss did you ovulate? And how long did you bleed for? I'm also concerned with my HCG taking a long time to go down causing false positives. Any insight would be amazing. This is our first loss.