I'm leaving for Tokyo in a couple of weeks and need some directions from Shinjuku station. I have a history of getting hopelessly lost there after taking limo bus from Narita. I want to walk to the Toyoku Inn Kabuchi-cho from Shinjuku station (http://www.toyoku-inn.com).

Can anyone please help with directions? My arrival time at Narita will be in the morning so I'll have plenty of time to find the hotel since their check in is not until late afternoon.

Arigato!

Just take a taxi. Only 720 yen from Shinjuku station.
Walking route is too complicated to describe, and you will probably get lost anyway, as you have to go through narrow streets to get there (about 800 metres).
BTW, it's TOYOKO INN, and their website is www.toyoko-inn.com, and your property is in KABUKI-cho.

On the Toyoko Inn website there is a map in both English and Japanese you can download it and carry it with you and show it to the taxi driver as well if you decide to take one....

Navigating on foot around Shinjuku is confusing, even for locals, and the walking route from Shinjuku station (with 100 exits) isn't at all straightforward.
Use a taxi. Write down the name and address of your hotel, or just speak slowly: TOUYOKO INN, KABUKI-CHO.

I agree with above. I stayed there once a few years ago. They had 3 free pc's for internet at the reception, coin operated laundry machine in the back, very plaine breakfast inluded in the room price, and I think I got a free pair of socks! From my room, I had a view of a batting (baseball)center. Anyway, as said above it's too complicated and you would also have a luggage aren't you? So if you are not that determined to walk, taxi is the natural choice. I walked there myself but I had only an overnight bag. That only stay at the hotel made me discover the Korean town in the area. Very interesting (to me).

Thanks for the suggestions such as taxi from Shinjuku and map from the website. Kappa1: do they provide soap and shampoo or should I buy them first? This looks like a good area for walking to restaurants, is that right?

Yes, soap (liquid), shampoo and conditioner are provided, but you may provide your own for the latter two if you have a favourite brand (not easy to find in Japan).
It's in what is locally called Korean town. Also between the hotel and the station and shopping area is a large red-light district with a lot of touts - ignore them and they will leave you alone. It's not dangerous, but brash and full of drunk salarymen. Other than local Korean eateries, most decent restaurants are found south of Yasukuni-dori, going towards the station and the dept stores (Isetan, Mitsukoshi).

If you're western in appearance (as opposed to Asian) you're largely immune to the touts in Kabuki-cho---they will likely ignore you entirely. Roppongi's where you'll find aggressive touts that go after western tourists and ex-pats (and where you'll find ex-pat night life if you're interested). I found Kabuki-cho interesting, but pretty intense late at night. Toyoko Inn isn't a love hotel (it's a big chain of business hotels), but in some areas of Kabuki-cho there are lots and lots of love hotels: very elaborately themed, with pictures in front and prices for short stays.

And very discreet as regards privacy, with entrances shielded behind high walls.