The BBC have a useful web-site where you can find out whether your MP backs the Leave or Remain campaign supports your view.
The official position of the Conservative party, and Government, is to remain in the EU. Individual Conservative MPs, however, can support either view and are free to campaign either to Remain, or to Leave, the EU. The Conservative MPs appear to be almost even split between Leave and Remain.
For Labour, the party line is to Remain in the EU. Almost all of the Labour MPs seem to be following this instruction from their leadership.
Both the Scottish Nationalist Party and Liberal Democrat party have indicated they want to Remain in the EU – all their MPs are following this instruction.
The Democratic Unionist party DUP have indicated that they will campaign to Leave and all their MPs follow this approach.
Of the other political parties represented in Parliament, only UKIP (1 MP) have indicated they wish to leave the EU.
The breakdown of the political affiliations represented in Parliament are as follows:
Scottish National Party 54
Democratic Unionist Party 8
Liberal Democrat 8
Sinn Fein 4
Plaid Cymru 3
Social Democratic & Labour Party 3
Ulster Unionist Party 2
Green Party 1
UK Independence Party 1
Overall, the vast majority of MPs have indicated they want to Remain in the EU which may, or may not, be representative of the electorate as a whole.
update: 8 July 2016
Michael Fabricant is the MP for Lichfield. In a recent article for the Lichfield Mercury he mentioned:
… As for reflecting the views of my constituents, an MP is a representative not a delegate.
I am elected to use my own judgement on behalf of constituents and not to receive instructions from them.
MPs have to be independent. But in the event, I did in fact reflect the view of Lichfield with 59 per cent of the local electorate sharing my opinion that we should leave.