Myself and 2 of my kids get frequent ( and sometimes ridiculously heavy) bleeding noses.
The triggers for all three of us seem to be heat first. And bumping combined with heat as a second trigger.
It's not really a big deal medically ( unless it's really frequent like more than once a week, for more than a few weeks in a row) but it can be quite stressful for the kids.
To deal with them, first use a tissue to stop blood dripping as it is when the kids can see the blood that they freak out and cry usually. It is best to keep it stress free and calm. I try to change tissues in a way thet they don't see too much blood also.
I let them bleed naturally for a minute or so, with the child sitting clamly in a cool place. If the bleeding doesn't stop by then. I have them hold the bridge of their nose. In my old kids they can hold their head back, but I would NOT reccomend that for a toddler ( potential for blood down the wrong throat tube, or coughing and splattering blood evywhere)
Ice is a good idea, as is removing clothing and a luke warm shower. but my kids always seem to get nose bleeds when there is no ice near by! The park, at school ( I pity their school nurse
) and often in the car and yes sometimes in bed. Usually when they get bed time nose bleeds it is because they have over heated during their sleep. That is now the only time I get nose bleeds as an adult. I can feel when I am getting too hot or am going to get a nose bleed when I am awake and just relax for a while to prevent it.
If your climate is hot then this could be the same issue. A doctor once told me my blood vessels are closer to the surface than others but I never believed him.... Kids get better at managing it with age, and the frequency tends to lesson or get to a fairly predictable state. If you are worried see a doctor. If it is more than twice a week every week for a few weeks running see a doctor. It's probably nothing but better to be sure. Do ask the grandparents if any of your siblings had them as a kid, and dads parents too.