I tried posting this earilier and the damn thing timed out so lets try this again.
First off, you're in luck because your car has UNLIMITED different setups when it comes to suspensions so the first thing you want to ask yourself is, what will you be using your car for?
Will it be a daily driver, auto-x, track, drag, etc.? This alone determines the type of setup you should look at.
Second question you should ask is, how much am I willing to pay? Suspension can range from $500-$2500+, and if nothing else, don't cheap out on some cheap ebay coilover setup. There is nothing worse than a car riding around with blown struts.
Suspension options:
Strut/Spring/Coilover Combo:
Some people choose to go a strut with spring route, or a strut with a coilover route. From here there are two options, strut cartridge inserts that go into the stock strut housing and then mating them to a spring/coilover, or a full strut replacement like Gixxer mentioned with a spring/coilover combo. What is most important when doing this is matching spring rates to the strut. RESEARCH is key. You also have the option to go with camber plates with this setup if you choose to spend the extra $$$.
Full coilover setup:
Here is where you can get into some serious money. Multiple levels of adjustment, various spring rate options, etc.
Basic coilover setups include: Full coilover setup excluding camber plates and pillowball mounts. Picture a full coilover (strut and spring) setup where you use your stock strut mounts. Various levels of rebound and damping adjustments exist. Expect 1k plus.
Full Coilover setup with camber plates/pillowball mounts:
Picture the above with camber plates and pillowball mounts. Pillowball mounts are a godsend in the coilover world. It truly makes coilover suspensions so choice. If you are not familiar with pillow ball mounts imagine a socket joint much like your knee riding in between the strut mount and strut housing. Camber plates allow you to adjust your camber for track days and truly take suspension tuning to the max. You can also choose to add EDFC (electronic dampening controlled from a dial inside your car), popular with Tein suspensions.
As you can see this is a very generic post but I am not familiar with suspension setups in the Honda world, the concepts above apply to all cars.
Keys to remember: How much will I spend? What do I want it to do?
I prefer full coilover suspensions, but I also don't care to pay the $$ for the setup I want. I have ran both and that is my preference. All my cars are built for auto-x/dd duty and I have always found the setup that was right for me. Do some searching around the Honda forums and you will have 15 plus years of knowledge and experience with companies/setups.
Some popular companies to look at: Tein, Eibach, Koni, etc.
A suspension is not just about the parts themselves.I saw people drop $5k on suspensions and them bounce up and down the highway like a bouncy ball. Proper matching of struts to springs, proper spring rates, etc. All come into play. Add strut bars, proper sway bars, etc. and you can build a car that handles like it is on rails.
Hope this helps.