Every quit is different, but from my own experiences:
The first week or so can feel pretty constant, but that's why they say, "One day at a time." You can and should break that down into smaller units as needed to get you through those cravings. A typical craving can last five minutes or so before the worst of it passes. You'll feel irritable and unbalanced for a while as you adjust to life without your fix. You might experience headache, stomach upset, and mood swings from irritable to depressed and back again.
The more life experience you get without your fix, the more natural it will feel. Eventually you'll start doing things without thinking about your fix, and you'll feel better. Then some stressor will come out of the blue--you might not even notice it--and the cravings will feel fresh all over again. You'll have to be on your guard to fight against it, especially since you might become depressed over thinking you were past this stage and being here again somehow means you failed. That's a lie your brain might believe. It's natural for those cravings to crop up from things you might not even notice.
As you succeed in resisting those cravings, your brain's software will be rewriting itself, in a manner of speaking. You'll be writing new "code" that says you can feel okay without your fix, and life works better without it. Of course, other things might crop up in the absence of smoking. Expect your thought patterns to change. Your moods will change. You're going from "I'm going to freebase this toxic cloud of countless chemicals into my lungs" to "I'm not doing that," so that shift can be jarring. Even so, the sooner you quit any and all smoking and adjacent behaviors, the better off you'll be.
That means getting rid of the vape. Even if you don't use any nicotine, the action of vaping reinforces your habit. When I go to the coffee shop and they hand me my straw for my drink, if I hold it like I used to hold a cigarette, I can feel the smallest little tinge of a craving, even though I haven't held a cigarette in over a year. Personally, I had to remove myself from all of it. I trashed $300 to $400 USD in pipes, lighters, cigarettes, cases, cutters, stuffers, tampers, tubes, bags of tobacco, and even pipe cleaners. I can't be around the odor of tobacco, because it variably makes me ill and gets my wheels turning.
You started your habit at a formative time in your life, when your brain was still writing its original software. That's why I recommend seeing a therapist, because it can be harder to rewrite that sort of coding. Generally speaking, I do recommend cold turkey, but if you do seek out a credentialed therapist, defer to their advice. For me personally, "I could just wean myself off" and other "I could just..." statements are my way of trying to negotiate with myself to smoke. Addicts do that; we try to bargain for our fix, creeping up to the line oh-so-subtly so we can reach across and hope no one notices, as if that's what matters.
There's a scene in the comedy Tropic Thunder where a cocaine addict is tied up, and he starts to bargain with the group he's in to let him go. When that doesn't work, he resorts to threats. For all the nonsense in that movie, they actually painted a fairly accurate (if outlandish) visual of addiction. Be very wary of yourself trying to bargain or threaten you into continuing. You'll tell yourself you can have this part of your addiction. You'll tell yourself life will be worse without your addiction, as if the physical damage you do to yourself is somehow less worse than a few weeks of irritation and discomfort. That's your brain threatening you.
Don't buy into the lies.
Don't bargain.
Get thee to a therapist, my son. Allies in this fight are a necessity. Unless your therapist says otherwise, I recommend cold turkey, but others might have different suggestions. Really, it's best if you can invite others to support you. Even my friends who still smoke support me in my quitting, and in the habits I've formed since I quit (like going for frequent walks to exercise my lungs a bit). Whatever allies you can find to cheer you on, that can be a huge boost for you.