Hi Stallard, I input your information into Alabe, which provides birth charts. Most astrologists go with the birth date and time, but as Brysing said, conception might be more accurate because it takes less time than seeing the crown of a baby and cutting the cord, but it's also more difficult to calculate because parents have a right to be private about that.
Astrologists observe celestial bodies as situated between sections of the earth and sections of some constellations in the sky. The PLANETS, that includes the moon and Pluto so it should really just be celestial bodies, those can be interpreted like divine interference of some quality, being applied to the HOUSES or earth-sections that are some part of your life, in a ways described by the SIGNS or the constellations.
So, the sun represents the ego, applying in your case to the 9th house and Sagittarius.
Moon in the second house, Taurus.
Mercury, 8th house, Scorpio
Venus, 8th house, Libra
Mars, 12th house, Aries
Jupiter, 2nd house, Gemini. Unfortunately, your Jupiter was also in retrograde so this can determine your main challenges, or subconscious or past life purpose that carries over to this life. Good news is, this is the only planet that you have in retrograde. Bad news is, you have a lot of hard ASPECTS, that's the angles that other planets take to other planets. Good news, you have some soft aspects too.
Saturn, 10th house, Capricorn
Uranus, 10th house, Sagttarius
Neptune, 10th house, Capricorn
Pluto, 8th house, Scorpio.
The houses are almost aligned with the signs because your rising sign is Aries, so even though your sun or self is Sagittarius, you come off to other people as more like an Aries. Your midheaven is Capricorn, or how your approach your life purpose.
Astrology is awfully complicated, like I don't even know if I'm using the system that keeps the sizes of the constellations equal or adjusts them for how big they actually are in the sky. I heard that Vedic astrology is more accurate than Western astrology, but it's all very complicated and didn't tickle my intuition. Still, I hope this helps!