I personally neither use git flow
or hg flow
as tools, but I do use some of the methods for my own projects (manually).
Before going into detail, you always need to provide branches in the main/bitbucket repository when multiple people need to merge or branch from them.
This definately includes "develop" and probably also features/fixes multiple people need to work on (unless you have another repository or method to exchange branches/commits between them)
The difference between using git and mercurial/hg is relevant here, since the branching models are quite different.
See A Guide to Branching in Mercurial for details. Using hg bookmarks would be quite similar to what git does with branches, but there is no full support for the bookmark branching model on BitBucket (see this ticket).
hg flow
(the tool) uses named branches. In contrast to git branches, these are not at all light-weight, but permanent and global (they can at least be closed now).
This means whenever any commit created on any (named) branch other than "default" is pushed to bitbucket (even after merging) this will create the branch in the bitbucket repository.
So you don't have any other choice than keeping all branches in the main repository.
However, You can decide when to push and when to close these.
I would advise using hg push -r
to push only the branches/heads you want to push and only pushing these when they are either needed by somebody else or finished and merged.
Branches should be closed as soon they are not needed anymore. (This is probably done by hg flow
automatically)
You should close branches locally whenever possible. This way they might not even appear in the bitbucket interface. Some might reach the bitbucket repository only in closed state (which hides them from the interface).
Obviously you should often push any branches multiple people need to merge from.
In my understanding of the workflow the "develop" branch is always exactly one branch per project that should be pushed frequently (after local testing).
In case you are either not using hg-flow
or named branches things are a bit different.
Both, using forks/clones or bookmarks as a branching method doesn't generate permanent or necessarily global branches.
Like mentioned above, you can't use bookmarks (reliably) when you also want to use bitbucket pull requests. You have to push bookmarks separately. A normal push will only update (a head of) the branch so you might miss commits from other team members when marging later. Hg will tell you when a new head is created. In that case you might want to merge the branch with the remote bookmark into your branch before pushing.
When using forks as branches it works a bit like with bookmarks, but bitbucket has full support for that. You need to have a new fork on bitbucket for every branch.
You naturally only want to create extra forks if you need different people to work on it and you don't have other means of commit exchange for them. You will need at least a separate "develop" repository then.
I personally wouldn't use the full "flow" with hg on bitbucket.
For my projects the "develop" branch is the same as master/default, since I don't roll out releases with git (other than development builds, that wouldn't use the release branch anyways). I don't need a separate "production" branch, since tags can mostly be used for production usage.
I also don't create a separate "release-preparation" branch. There is only a point in time when I only apply bugfixes on develop and stop merging features. That obviously won't work when you need to work at the same time on features that are dependendant on features not to be released in the next release.
Always using the full "git flow" is easy because git branching is easy and light-weight.
Depending on the branching model you use and how supportive the other tools are,
using the full "hg flow" might not be "worth it".
The hg guide actually discourages use of named branches for short-lived branches.
See Feature separation through named branches.
The "easy" branching concept promoted in the guide is forking/cloning. Bookmarks would be the natural way to translate git flow
if the tool/bitbucket support would be better (and bookmarks longer a core hg feature).
Disclaimer:
I prefer git when I can choose. I do use hg, but not as my personal choice.
You also might have considered most of this, but since you didn't state any of these details and accept an answer (in the comments) that is quite different to what you are asking, I wanted to elaborate a bit.
Edit:
To follow-up on the comments:
I think hg bookmarks are comparable to git branches because both are just movable pointers to commits.
The main difference is, that when you delete a branch in git, the commits are possibly lost (when not part of other branches or pointed to in a another branch before they are garbage collected). When you delete a bookmark in hg, then the commits are still part of the repository (part of the (named or default) branch) unless manually stripped.
Anonymous heads are related, but only as something the bookmarks point to. Without bookmarks pointing to them the anonymous heads are not usable as a branch to work with (for more than just a local merge) and share. When you have anonymous heads in a repository you don't know what they are supposed to be or where they came from, unless you remember or have other clues. In my eyes anonymous heads are only a workaround for late implementation of bookmarks and no good implementation of remotes/remote heads.
Named branches are rather unrelated, as the only thing they have in common with git branches is having a name. They are light-weight in comparision to cloning the whole repository (forking as branch model), but not in terms of "you can't get rid of them". They are permanent.
Most places tell you not to use named branches unless you have a very good reason or it is a long-running branch.