The method of hysterectomy often depends on factors like the size of your uterus, whether there is any prolapse, etc. If it is normal size with some descent,a vaginal hysterectomy can be done, but your gynaecologist would have to assess if this is possible. A laparoscopic hysterectomy is another possibility.
As for any surgery side effects include bleeding, infections, anaesthetic complications and damage to nearby structures.

Best wishes