One birth moment, three coherent descriptions that do not agree: Western tropical, Western sidereal (Fagan-Bradley), and the IAU constellations of the real sky. The disagreements are the point. No frame is recommended over another. Every figure here is computed and labelled; what you make of it is yours.
Your birth data never leaves this page. The whole chart is computed in your browser; there is no server, no account and no transmission. Checkable: open your browser's network tab. After the page loads, the one request it can make is for the place list, when you first click the birthplace box: the same file for everyone, so it says nothing about you. What you type is searched on your device.
The wheel draws the two zodiac frames only. A constellation position is a membership, not a longitude, so it cannot be a spoke on an equal-sign wheel; the table states it instead.
A chart link carries the birth data you entered in the part of the URL after the #, which browsers do not transmit to any server. Sending the link is still a disclosure: whoever receives it has your birth data, and positions alone imply an approximate birth date. Saving on this device uses your browser's local storage only; the forget button removes it.