If you install the recessed lights yourself you can likely install the recessed lights in one room for around $100.00 to $150.00 per room.
If you hire an electrician to install the recessed lights it can cost $60.00 to $150.00 per recessed light and if the job gets more complex or the electrician has to move around a lot of obstacles such as heating ducts, other wires and joists then the cost could go higher.
Also expect to pay a service call of $100.00 minimum just for the electrician to show up.
If you have just one recessed light installed by an electrician it can cost around $200.00