Once you get your schengen visa then apply for uk. One week each for both should be enough and comfortable time. If you indeed obtain both visas then there is no need to visit London via Paris as the same rules do not apply to a UK visa as a Schengen visa.
Consequently, which countries covered by Schengen visa?
The 26 Schengen countries are: Austria, Belgium, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Italy, Latvia, Liechtenstein, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia, Slovenia, Spain, Sweden, and Switzerland.
Can you work with a Schengen visa?
A Schengen visa allows the holder to travel freely within the Schengen countries for a maximum stay of up to 90 days in a 6 month period. However, the Schengen visa is NOT a work permit. You can travel on a Schengen visa to go on holiday or on a business trip. It does not allow you to work in the Schengen countries.
Can I go to London with a Schengen visa?
UK is not part of the Schengen Agreement and therefore a Schengen visa as such does not allow you to enter the UK. According to official rules published by the UK Border Agency, Russia falls under the list of countries that require a visa before you can enter the UK. You can easily check if you need a UK visa here.