https://www.urbandictionary.com/define.php?term=Getcha%27+Pull
getcha = get ya = get you

Go ahead and take a big sip of this [holding out a bottle]

And the YOU here is себе — Maybe you can even add that to the Russian

According to your interpretation - '...take a big sip of this', I don't see how I can add СЕБЕ, unless it goes with НАЛЕЙ - "налей себе". But that would be something different, not as informal as the original sounds.

I just thought I’d mention it. That “you”is very colloquial in English. Like “I’m going to have me a beer“ or “I love me some sushi“.

Also note that a PULL can be a draft beverage, like a Guinness or beer, or a big toke on a cigarette, cigar or joint. Obviously, we don’t know what they’re talking about here. 

Getcha a pull, if you know what I mean )) 🤠

I don’t

Neither do I 🤔

Go ahead and take a big sip of this [holding out a bottle]

In this case, it’s (Давай) хлебАни (where the и is stressed).

https://ru.wiktionary.org/wiki/%D1%85%D0%BB%D0%B5%D0%B1%D0%B0%D0%BD%D1%83%D1%82%D1%8C

Thank you! We are assuming it’s a pull from a bottle.

🤩👍

Exactly! Хлебнуть = to get some; хлебануть = to get a big swallow.

However, I've never heard 'хлебануть' before.

Александр, Вы явно общаетесь не с теми людьми, для которых «хлебануть» - это норма🤣

Да я и сам в юные годы забулдыжничал, и с самыми разными слоями народонаселения, но именно такого слова не слышал ))