Using a throwaway account, although I'm pretty active on HN.
I spent 6 years working in Silicon Valley where I worked many years for companies such as Yahoo! and Facebook.
My overall experience is probably around 10 years.
I specialize in Python/Django as well as pretty good in Obj-C/Cocoa/Cocoa Touch, and I've got many apps in App Store and few Mac OSX apps as well.
I know C, C++, and PHP pretty well. I also know some Perl, and can pickup any technology very quickly.
I can do development, server admin, IT work, etc.
I freelance and run my own small business specializing in web apps and ios/osx apps.
I'm from US, but now find myself in Copenhagen, Denmark where I met a nice girl and want to stay for foreseeable future.
My tourist visa is quickly expiring, and I need a work visa to stay longer than 3 months.
Anyone interested in hiring me and sponsoring my work visa? I promise I won't disappoint and can bring my tremendous experience to any tasks you have.
Send me an email at desperateincph@gmail.com and we'll talk more.
EDIT: Thanks for all the advice and suggestions. I'm floored at all of the help. If someone is in CPH, and wants to grab coffee, and talk about tech, travel, or whatever, let me know as well.
Just want to add that if you can't qualify for one of the working visas or a family based visa, which can be tricky due to the many specific requirements, you shouldn't lose hope. If your girlfriend is a Danish citizen or a citizen of another European Union country you can make use of the EU rules regarding free movement of labor, i.e. live and work in Denmark without a visa and without financial requirements, without having employment at hand, without expensive application fees or the other usual obstacles set up to make immigration hard.
This follows from the Metock ruling from the European Court of Justice:
http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=CELEX:...
In short, the Metock ruling says that the free movement of labor entitles any EU citizen to bring a partner/family member, who is a citizen of a third country such as the US, with her when she moves from one EU country to another for work.
To make use of this ruling both of you will have to move to another European Union country to work there for a short period (for example 3 months). You will probably have trouble getting working visa there but your girlfriend can work there as an EU citizen. You don't have to go further away than across the bridge to Malmö. It will probably be necessary to marry, since the requirement for unmarried is a "durable relationsship", which you may not fulfill in such short period (as I understand it you met recently).
You need to live in the other EU country, not just stay there at a hotel. To be well within the requirements your girlfriend should try to work there in what is at least a half time job. She doesn't have to get any kind of qualified job.
Though they are reluctant, the Danish immigration authorities are obliged to explain how you benefit from this EU loop hole if you ask them about it. Be sure to ask in detail about the requirements.
Good luck, and welcome to Denmark :-)