You will get FTA without a viewing card, this does not include a handful of channels however (most notably Channel 5). However, if you get a FFS card, you can get FTV, which does include the likes of Channel 5.
If you want Sky+ in the bedroom, you will need to add a multiroom subscription, telephone Sky to arrange this, its £10.25 a month iirc, and it will give you all the same channels etc as on the main box.
With regards the physical connection, they will need to be connected to the LNB (as you already have Sky+, you will have minimum of a quad-LNB, so you will be able to plug straight in (try not to move the dish lol) and then connect the two feeds to the two screw sockets on the back of the box.