The best place to start is the Expat FAQ
on UK EEA Family Permit
EEA Family Permit Requirements (for non-EU citizens outside the UK):
The EU citizen intends to exercise their Treaty rights in the UK (employment, self-employment, study, self-sufficient, etc)
The couple must be legally married to each other / in a civil partnership with each other
They must have met each other
They must intend to live together
The couple must be traveling to the UK together or the EU citizen should already be in the UK
In this case, the EEA Family Permit would be issued for 6 months and allows unrestricted employment in the UK for that time. During those 6 months, it is expected the EU citizen would apply for a Residence Permit and their spouse/partner applies at the same time for a Five Year Family Permit.
You can also refer to the complete expat Guide to London
. It has information on visas, jobs, education, and more. I hope these help you get oriented with what is required. Best of luck!