Hello & welcome,
Bleeding from gingiva
, sensitive gums while brushing in morning is typically the sign of gingivitis
in early stage which can be resolved by thorough cleaning of the teeth.
First, your brushing technique carries much more importance compared to your frequency of brushing regarding cleanliness of the teeth.
Avoid applying excessive pressure while brushing.
Use soft tooth brush. use of antiseptic mouth wash for short term will be acceptable.
While brushing, always hold brush aginst teeth with light pressure, use up & down movement followed by back & forth movements of the bristles.
If extraction has been done before 30 days, then wound must have healed & not a matter of concern. But if extraction procedure is less than 30 days old, then you should avoid forceful gargling & spitting as it would harm the extraction socket developing negative pressure.
You can also get scaling done ( cleaning of the teeth ) by visiting your dentist
And, leaving the extraction socket empty never ever loosen other teeth, instead teeth near the socket may get inclined in that empty space occupying it on closure of mouth thus making placement of new tooth difficult in future.
So, definitely empty space should be replaced with bridge or implant as quick as possible.