Vampire is not an official playable PC race*
There is not a playable PC race option for Vampires in official material for 5e.
Becoming a Vampire Spawn NPC is the closest option
The Monster Manual does state the following if you are bitten by a Vampire and die from the bite (my emphasis):
A humanoid slain in this way and then buried in the ground rises the following night as a vampire spawn under the vampire's control.
Becoming a Vampire Spawn changes the character and potentially takes them out of player control, per the "Player Characters as Vampires" sidebar (MM, p. 295):
The game statistics of a player character transformed into a vampire spawn and then a vampire don’t change, except that the character’s Strength, Dexterity, and Constitution scores become 18 if they aren’t higher. In addition, the character gains the vampire’s damage resistances, darkvision, traits, and actions. [...] The character’s alignment becomes lawful evil, and the DM might take control of the character until the vampirism is reversed with a wish spell or the character is killed and brought back to life.
Note: this is not how you list becoming one. I'm not sure your thrall/drink blood comes from, but I haven't been able to find it.
Succubus' kiss does not turn you into a vampire
The stat block of the Succubus in the Monster Manual details the mechanics of the Draining Kiss:
The fiend kisses a creature charmed by it or a willing creature. The target must make a DC 15 Constitution saving throw against this magic, taking 32 (5d10 + 5) psychic damage on a failed save, or half as much damage on a successful one. The target's hit point maximum is reduced by an amount equal to the damage taken. This reduction lasts until the target finishes a long rest. The target dies if this effect reduces its hit point maximum to 0.
This requires the target to have already fallen under the Succubus' Charm and it does not do anything but what it says above and does not and can not turn you into a vampire.
MrRhexx's lore video is not official 5e or WoTC material
While interesting, and possibly accurate, the information in the video is not official. It also doesn't necessarily line up with 5e specific lore. While I'm not going to make a judgement on it's actual veracity, simply not being an official source and that the information you're presenting here doesn't line up with the current documents for 5e, I'd be wary to utilize the information as official and correct for 5e.
*WoTC did release a Plane Shift:Zendikar supplement under their MTG releases that are equivalent to D&D's Unearthed Arcana and it does include the note that the information is usable for 5e. This material has not undergone playtesting, but it does provide an opportunity for a Vampire player race.