(right) out of the gate(s) spoken language informal adverb
Peter first met Stacy, he fell in love right out of the gate.
When I enter the house, I change my slippers right out of the gate.
Our company is aiming to be the first one out of the gate with applying this new technology to product new drugs.
The progress was a bit slow out of the starting gate to do this project, but now I am very confident with what I have been doing.
Thanks to all who supported me right out of the gate.
Immediately.
At once.
At once.
(Image Source: Tuesday's Horse - WordPress)
This phrase is supposed to derive from horse racing, where starting gates is used to ensure a fair start.