Allahu Ekber. that is wonderful, by recent i take it that it was within the last 2 or 3 days. very nice, Masha Allah. Congratulations, and welcome to Islam Zanoni.
in regards to your question you can read this:
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
Dear brother, we commend your eagerness to become well acquainted with Islam and its teachings, which is the way Allah has chosen for the welfare of His servants.
First of all, we would like to stress the fact that removing unwanted hair from the body is an act of fitrah. Referring to this, the Prophet (peace and blessings be upon him) is reported to have said: “The fitrah is five things: circumcision, trimming the moustache, cutting the nails, plucking the armpit hairs and shaving the pubic hairs.” (Reported by both Al-Bukhari and Muslim).
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It is a Sunnah to remove the pubic hair and hair under the armpits for the purposes of general hygiene and cleanliness. Hair in such areas is considered unwanted. It is makruh to let them grow for more than forty days.”
taken from here
Removing Unwanted Hair from the Body - Dress & Adornment - counsels - OnIslam.net
the word Fitrah in the article means Natural Disposition of Man as set by Allah. to read more about it go here
The Definition of Fitrah
as for bleeding, i have always been of the opinion that it invalidates ones wudu (ablution) but according to the following article/answer to a similar question there seems to be more evidence that it does not invalidate the ablution:
Islam Question and Answer - When he does wudoo