Simon:
Just adding a few more things on top of what Sam had said. If this is the first time you'll be using a casting reel, some entry level reels that you may want to consider include ABU 5600c4/c3, 6500c4/c3, or Shimano Corsair. They are inexpensive (below $150) and can be kept as backup reels when you upgrade to better reels such as a Shimano Calcutta.
For the baitcasting rod to go with the reel, go with a Shimano Convergence like Sam said or pay a few dollars more for a Fenwick HMX, length 10'6. Price ranges between $100 and $150.
One thing to keep in mind when purchasing both items is to pay attention to the weight class that both can handle. For the rod, if you are after coho or similar sized fish only, go with a rod that's rated between 8 and 12/15lb test. If you are after spring, go bigger obvious, up to 12/15/17 to 20/25lb test. For the reel, make sure you have a model that will match your rod. Check the line capacity of the reel. If you are buying a rod that's rated 8 to 12lb test, a reel that has a capacity of 12lb test - 150/200 meters is sufficient enough. What you don't want to end up is a tiny reel for a thick stick, or a heavy reel for a light rod.
For casting, my recommendation is to do it in a piece of unfished water. Tidal water of Fraser is a good place to start, empty beach down around Spanish bank during winter is also good. Thumb your spool to control the spinning speed as the line goes out when you cast. Press onto the line to stop the spool just before the weight hits the water. Casting on lawn is good for flycasting, not ideal for baitcasting. A weight landed differently on hard ground and in the water.
Your type of gear employed should not represent your fishing skills of course, but using the right tools for the right waters is important. Spincasting reels like what you have right now have their advantages. I love using spincasting reels when spinning in still waters for coho, sometimes even chum. Any spinning reel would do actually when you're after coho. A Shimano Sidestab 3000 does the job just as well as an expensive reel. However, if you wish to spoil your hands, a Shimano Stradic or Shimano Biomaster (hint hint

), or even a Stella is the way to go.
