As a fellow "non-mechanic" Eagle SX/4 enthusiast, this is the best plan of action I can suggest.
First of all, you should look for an Eagle wagon parts car with 4.2 I6 and A998 auto transmission. Shouldn't be entirely difficult to find one rotted out at scrap price, and these are the most common configurations
This will give you the engine, transmission, and crossmembers for your build, as well as a plethora of other parts that may likely become worn on your Eagle. Best to rebuild them before installing for good measure and reliability. I would highly recommend an NP242 transfer case as this can be made to work on an Eagle relatively easily, and it is probably the most versatile of the New Venture/New Process t-cases. You may also be able to adapt a Grand Wagoneer shifter, as the Eagles all came with an unused, dedicated mounting spot.
You should definitely start out with the 4.2 engine. It will take no true modifications to install, and everything can come from the parts car. Once you get this in you can start thinking about more power/mileage, because the 4.0 is a whole different can of worms.
The 4.2 can later be fitted with a 4.0 cylinder head, preferably the 7120 casting from '93-'96 I believe. You use the stock intake and a 4.0 header, which requires exhaust mods and a grinder to fit in the crowded Eagle engine bay and wrap around the front driveshaft.
Once you have all of that running well and you need more power, better mileage, and truly reliable starting, you can finally start looking into fuel injection. Your options are to use the parts from a Jeep, including intake, fuel rails, full wiring harness, flexplate, starter, etc. (yes, you need the flexplate and starter because of the crank position sensor, which requires bellhousing mods) and buy an electric fuel pump and block off plate for the old pump OR shell out $1200 to $2500 for an aftermarket system which will be easier to install.
Other helpful additions could include, but are not limited to: Motorcraft ignition upgrade (very simple), HEI distributor, MSD 6AL ignition box, aluminum valve cover, limited slip rear differential, Dana 44 from a Comanche (certain year is the same width)...
Dana 44 isn't totally necessary, especially with only a 4.2, but would be significantly stronger than the stock axles and your wheels won't fall off if they break. A limited slip would be a good addition for snow driving, and should be pretty easy finding gears for considering you have a 4 cyl. The 4 cyl Eagles came with 3.54 front gears, which are prized for torque and severely limited availability. Of course, you should confirm that's what it has before blindly installing gears.
These kinds of ambitious mods don't take an expert mechanic to accomplish, but they are certainly no single weekend task. I would estimate this to take 1-2 years for a busy working person with a family, but less if you have a nice garage and keep at it. I'm not trying to discourage you, however you should know what you're getting into before tackling an Eagle project. It will be AWESOME when it's all done