The most beloved 10 days to Allah during the whole year is indeed the 1st ten days of Dhul-Hijj which starts early next week inshaAllah..
Allah (SWT) Himself swore by these days in the Qur'an..Our Prophet Muhammad (SAW) was also reported to have said ' No days where righteous deeds are more beloved to Allah than the deeds done in these days (1st ten days of Dhul-Hijj)'.
It is an opportunity and blessing for Allah to spare our lives till then.let us not waste these days but use it to seek Allah's love and pleasure..It is advisable to fast the whole 9 days and if not, atleast on the day of Arafat, which is on the 9th Dhul-Hijj..The fasting on the day of Arafat wipes 2 years of sins.
May Allah grant us the ability to perform much righteous deeds during this period and beyond & may He accept it from us and grant us Aljannatul firdaus..

It starts on 21st of August. At most 23rd.