The 96+ magnum engines are modern fuel injected engines, they just aren't current generation direct fuel injected engines, however neither are a lot of engines in new 2018 vehicles.
Cheap power is an oxymoron, if you want performance you're going to pay for it. However, you don't have to sell your arm to get some nice improvement in power.
First thing is to determine just how worn your engine is, that will determine if it is better to go get a junkyard engine or just use your own. Keeping in mind its not gonna be cheap to pay someone else to do the work. It's cheaper for me to buy all the specialty tools I have at work and do it myself at home then to take it into work and pay with the 40% discount I get to have it done. Thats counting having a basic but complete set of 3/8th in drive wrench and sockets with some extensions with swivels, a set of 1/2in impact sockets with either an air or electric impact. Assorted screwdrivers, hammers, pry bars, some sort of torch (preferably MAPP gas), an engine hoist and load leveler, a couple types and sizes of pliers, lights. Overall, everything you'll need tool wise will cost about 600, and you get to keep it when you're done or sell it (lots of people looking for engine hoists used).
Either way, before you go too far into getting another engine, i'd suggest checking out your engine to see whats up. On the list, inspect the ignition system, intake for plenum leak, spark plugs for plenum leak, compression test to check rings; valves and head gaskets, exhaust for clogged cats or other restrictions. After you have checked that out (you can rent/borrow all the required tools from Autozone), you can determine whether or not to keep your engine.
As for mods that will get you a bit more power and not break the bank, as well as prevent future damage. Plenum gasket, you really only need a decent gasket (i'm partial to fel-pro) and new intake bolts as you'll likely snap one or two and you don't want to reuse those old ones that have lost their coating anyway. Canned Tune from FRP tuning or HemiFever (just note HemiFever is pretty loosely thrown together). Either shorty headers and/or an intake either Edelbrock or Hughes. If you can find one for a good price and only after the intake, a ported stock throttle body or aftermarket 52mm TB. TRANSMISSION COOLER IS A MUST.
Things not to do as they do squat. Any intake system that isn't a supercharger or turbocharger. CAI are just a bunch of **** that do nothing, a washable filter is acceptable if you just want to wash instead of replace, but a decent cotton or paper filter is cheap and works just fine. A dirty/clogged air filter will harm performance worse than almost anything. Any electrical system stabilizer that isn't the main battery sitting on the driver's side of the engine bay. Underdrive or overdrive pulleys, they have their niche, but we will never see the RPMs or speed that warrant using them and the accessory drive components don't use that much power anyway (save the A/C compressor but that shuts off when the PCM detects high load conditions). Stickers that claim 50+HP per sticker (The 5HP stickers work though, I have 50).