The new one you tried is Vedic astrology (as in, from India).
Vedic astrology often bases its charts off the sidereal system, which shifts the signs by about 21 days at the current time (what is Aries is Western astrology often becomes Pisces in Vedic astrology, what is Pisces often becomes Aquarius, what is Aquarius often becomes Capricorn, etc)
The sidereal system (Vedic) uses the stars as they actually appear in the sky at the time of your birth, whereas the tropical system (Western) uses the stars as they appeared in the sky at the time all this stuff was being discovered (~2500+ yrs ago).
While the sidereal system's method makes sense to me, I actually find that the tropical system produces accurate results, while the sidereal system does not.
For this reason, I would recommend using the tropical system, but also that you use whichever system you find produces the more accurate results (if you were Indian, or from somewhere in the region, with a historical tie to the subcontinent [Bangladesh, Pakistan, etc], I might recommend using the sidereal system).
The reason the two systems differ is that the stars slowly shift in the night's sky over the years (as in, what stars appear in the sky on February 21st in 500 BC are not the same as the ones that appear in 2000 AD - they shift by ~21 degrees during that period), due to what's called the procession of the equinoxes.
Iirc, it's caused by the earth's "wobble" on its axis (the earth is tilted, relative to the solar system's plane, as well as the galaxy's plane).
That tilt, which is 23.5 degrees, is a what causes the seasons.
No tilt, no seasons; more tilt, more extreme seasons.
The thing is, that tilt "wobbles".
It takes 26,000 yrs for one of those wobbles to go full circle.
What this means is that in 13000 yrs, the months we think of as the summer months will have slowly transitioned to become the winter months (and vice versa), and the months we think of as the fall months will have slowly transitioned to become the spring months (and vice versa) (hence, the name "procession of the equinoxes").
This is also what the Mayan long calendar is based on.
The reason for all the hoopla in 2012 was that the Mayan long calendar was coming to an end (which happens every 26,000 yrs), meaning the earth's wobble was bringing us into alignment with the center of our galaxy (which only happens once every 26,000 yrs). The Mayans believed this marks the end of one phase of the world, and the beginning of another.