How to do all three paths (kinda)
If the second place you go to is the place Bluebeard goes, you get to visit all 3 places, but you don't learn everything in the second place.
If you go to the Apartment first, Bluebeard goes to the Office and Flycatcher (unfortunately) gets a black eye and you never get to search the office.
If you go to the Office or Bar first, Bluebeard goes to the Apartment and burns a few stuff and you miss Jack.
The best path IMO seems to be Apartment->Office->Bar since you get to see all characters and do all choices, although you still miss info from the office like why the brothers were after Faith. You don't really learn anything new in the apartment but you get to see Jack.
This is something I really hated in this episode, you can easily miss a lot of stuff if you hit the trigger that progresses the story.
Comments
Is there any advantage in visiting the bar first? I did that because I figured finding the witch would be more important than knowing what the Tweedles have to do with the case, but now it seems that going to the bar first is the worst decision, maybe.
I don't think there's a difference between going to the Bar or the Office first
What was there in the office about Faith? O:
Because I went: Apartment-Office-Bar, what about if you go Apartment-Bar-Office? Because the bar had the address book, but nothing else useful... the apartment on the other hand had lots of stuff and I think seeing Jack and making a deal with him would make him friendlier towards you...?
I went office/Cranes/Bar..
Bluebeard burnt everything.. if you go to cranes first.. do you find something incriminating bluebeard? like he was taking money with crane
They were after her because she stole a picture from crane
In the office there's a file on Faith, basically she stole one of Crane's photos so he hired the brothers. Also you can't go Aparatment-Bar-Office. The game forces you to go to the witch's apartment after the Bar. You never meet Flycatcher that way. What each location has on the witch, changes depending on the order you do them.
He has been stolen money from Fabletown and he was going to pay something to the Crooked man, you can also take the money, which I did, because I think it's good to have money in the game :P And it wasn't obvious that Bluebeard was involved... but I guess he could be
Oooh O: do you know what is in the picture?
No, you just find the same info as in the office. You get to catch Jack stealing and punch him
Crane and Snow/Lily I'm guessing
Oh, okay cool
I think I'm especially going to play this episode multiple times to find out as many possibilities as possible 
I tried to be gentle with him so he would be more eager to help me in the future
I think you basically end up with the same info either way , if you go first to the apartment you find the name of the witch and also finding out that crane giving fabletown money to the cooked man . Then i went to the bar and found out the address , so except not meeting flycatcher ( which i wanted to ) you don't really miss any needed information ( correct me if im wrong ) .
if you go to the office you find out that beauty is in debt to the crooked man and that they are keeping an eye out for detective brannigan . You find this out if you look trough evryone personal file
What each location has on the witch, changes depending on the order you do them. You always find the witch's apartment. The only difference is you can miss Flycatcher and Jack, and never actually find out why the brothers were after Faith
Can you find out from some other place besides the apartment that Crane is giving money to the Crooked man? O: And I guess it has to be that you can continue the story anyway.
BUT what I'm curious about is can you arrive at time or more late depending where you go and in what order? O:
I was 15 minutes late, does everyone have the same?
You can also find out Beauty is in debt in EP2 if you interrogate Dee
You always arrive everywhere at the same time no matter the order, which is stupid. Like the apartment should logically be first since it's right there, but it takes the same amount of time as picking the Bar or the Office first. Also you find out about Crane's debt in the office, it makes no difference
Yeah u can get the info that crane is giving money to the crooked man in the office if you go there first .
and i think that i was late when i went to Apartment>bar tho i went only to the 2 places.
Oh, it would have been even cooler if the time depends on those things too
Aw man, you could go to all three places? Dammit. Guess I'll have to replay the episode.
How do you go to all three places? I went to Crane's apartment, then the bar, and after those two I wasn't given the option to check the office out. Also, I wonder if there is a "better choice" kind of scenario like in which place to go in Episode One. Those who went to Toad's first and then Lawrence's miss some information and the chance to save Lawrence. The only penalty for going to Lawrence's and then Toad's is that Toad complains (which isn't much of a consequence, since that is what he does 90% of the time anyway).
Like I said, the second place you go to should be the place Bluebeard went. You can go Apartment-Office-Bar, but not Apartment-Bar-Office. You can also go Bar-Apartment-Office or Office-Apartment-Bar, but not Bar-Office-Apartment nor Office-Bar-Apartment.
My path was Bar --> Apartment --> Office
Seems like I had a "middle of the road" situation...I knew I should have gone to the apartment first, SHIT >_<
I went to the Apartment, then the bar. Didn't get to go to the office. I didn't really mind, until I came on here and realised I'd missed the chance to see Fly. Cue much rage.
This seems like a Trademark Terrible Telltale decision. Either I delay going to the Office, and miss Flycatcher (or he gets a black eye, or something) or I delay going to the Apartment and miss out on the chance to punch Jack. CHOICES!
To be honest it really does seem that Crane->Tweedle->Holly is the best choice if you want to meet all the characters. You get to talk to Jack and still meet Flycatcher. Going to the office first is fine if you want to learn more about some characters from the files, but you don't get to catch Jack in the apartment. On the other hand, going to the bar first seems to do nothing special, so it can be considered the "worst" choice.
The bar is the only one you have to go to no matter what