Take the racing to the track
Well, everything aside from adding a few more bolt-ons to the current engine is not something that you can do over time. I mean you can slowly piece together a cheap turbo kit and then install it once you have everything gathered up, but the chances of you not running in to some sort of a problem that leaves you without a car for at least a day are slim at best.
Even if you get a turbo installed, you probably won't be too impressed with that engine. It is what it is, an economy engine. It will perform as such even with forced induction. Sure, it'll be a little faster, but not likely too reliable unless you really dig in and replace some parts. Clutch, fuel pump, etc. all need to be changed along with the regular maintenance. Then there's all the supporting modifications that you should do to support your new power.. brakes, suspension, tires, etc. The list goes on.
Depending on your mechanical know-how, one of these two options would be best (in my opinion):
1) Swap the engine for a B-Series. Even an LS (B18b1) would be fun in that car. Trust me, I had this exact swap. Pair it with a GSR transmission and you can still enjoy the car and retain some fuel efficiency. If you want a little more, there's always a GSR swap. This will cost you at least 3k to complete. If you are a little more resourceful, you might be able to get it done cheaper. But expect a cost in the 3-6k range for a B swap.
2) Swap for a different d-series. D16y8 comes to mind. My sister has a 97 EX coupe and it surely isn't quick, but it isn't as much of a turd as my hatch was when it was stock either. You could also swap the head from a y8 or z6 on there and create a "mini-me" (do some research, these have been covered in great detail all over the net.) I'm not sure you'll be surprising anyone with the power output though.
A full swap could probably be done for $1500.
Mini-me maybe 800-1000.
You could also pull the transmission out of that car and throw something with better gearing in it. The transmission that comes with the y7 really makes that car seem completely hopeless.
There are lots of variables. Budget, mechanical know how, etc. It's up to you, really. I was in a similar spot as you when I was in school, and I just sort of went for the swap and started screwing around with everything else after. Here's my thread if you want to take a peek. Sold the car, but still plenty of pics and stuff so you can see what goes into a full build.
https://hondaswap.com/auto-multi-media/matts96hbs-ej6-build-85658/