Putting an LS in can get expensive really fast if you want to retain fuel injection and computer control of the engine. You need to figure out your goals for the car. Are you building the car as a driver, for drag racing, for auto cross or ? The first step is understanding your goals and educate yourself on what you're getting into.
If money is tight, from your other posts, it sounds like you're going to have your hands full and pockets empty with body work (i.e. mini tubs, door skins, hood hinges, paint, etc). What are you going to do for suspension? How about tires and wheels? Are you going to strengthen the frame? How about the rear end?
By the time you get to the engine things could change and you may want to go down the LT1 or LT4 path. The least expensive path is find a nice small block or big block along with a more traditional trans (i.e. turbo 350 or 400, or 4 speed muncie or possibly TKX)
For the LS path, it starts with which engine and transmission. The cheapest is probably a 5.3 with a 4L60 out of a truck. A 6 speed transmission, automatic or manual will require modifying the tunnel. Depending on the engine donor, the accessory drive may or may not work with a Chevelle. For example a 5th gen Camaro won't work because the alternator is mounted low on the drivers side and will interfere with the steering box. If you want to run A/C you need to determine where you're going to run the A/C compressor. If you want to stay with fuel injection then you need to look at the fuel system and ECM. You'll also need to look at the cooling system. And the list goes on.
Take a look at some of the build streams in the Protouring section and it'll give you some ideas. You can look at my build stream on the link below as I've gone down the path it sounds like you're pursuing. Also google Richard Holdener as he has several videos where he dynos junkyard LS engines with various mods.