First thing you want to do when planning out an LS swap is determine your budget. Then once you have your budget multiply it by 1.25x because you will always run into things you didn't expect.
Whatever the motor you choose, make sure that you get an engine mounting system that all matches. You need to have motor mounts, trans mount, headers, oil pan and engine accessories that will all work together. The LS1 from a 98-02 f-body is a great go to motor for 2nd gen's because the oil pan and engine accessories fit really well in the engine bays with most all mounts. I'd still recommend one of those LS1's because they can be found now for a very reasonable price. Or if you are going with a crate motor or truck, the pan and accessories are what I'd be looking for. Holley in my opinion does the best job of getting the engines as low as possible in the engine bay which gives you the best shot at driveline angles and not cutting the trans tunnel.
Fuel delivery is another issue. Holley makes a nice drop pump that drops into your existing tank and is good for around 450 HP. If you are under that mark, that would be my choice if the tank is in good shape. Otherwise if you need a new tank anyway, I'd be looking at a Rick's Restomod tank and run a 5th gen SS Camaro pump.
Wiring/ECU. Hands down I would recommend going with the Terminator X ECU over a factory unit. It makes so much sense in a swap application because it is so versatile. You get brand new wiring and a very powerful ECU. The stock tune file will get you up and running and the fuel tables will learn with feedback from the wideband O2.
Those are really the biggie issues that will get you up and running. You have several other things to consider as well, such as gauges but those are subject to your taste.
Good luck and keep us posted.
Best,
Ryan