You don't need a great sink. You can chill your brew in a bucket or the plastic tub you use for doing the dishes in, filled with enough cold water so the pot starts to "float" in it. Clean up should be minimal, just wash the pot and utensils that got "sticky."
Put a clean lid on the pot as soon as you turn the heat off. The steam from the pot will sanitize it. Or cover with aluminum foil. You don't want any of the bucket water or anything else getting into your pot with "wort." Once the wort gets below 140F anything that touches it needs to be sanitary. The inside of your pot (and the wort) is sanitary, since it has gone through the boil.
One thing about the kit, it's missing a real sanitizer. Easy Clean is the same product as generic "Oxiclean," a decent cleaner, but
not a sanitizer. With some care you may be OK. You can use hot water to rinse/swish around after cleaning with Easy Clean. Just be careful not to burn yourself or anyone else. Avoid using bleach!
I can recommend reading Section 1 of the online version of "
How to Brew." which deals with extract brewing, sanitation, and basic fermentation to familiarize yourself with the brewing process, in addition to the instructions provided with the kit (which is usually minimal).
Just ignore anything that mentions "secondary fermentors" or "secondaries." You don't need or even want them (at least at this point). Just skip them.
If you can keep your beer while it ferments (after you've added the yeast) in an area that stays between 65 and 68 degrees for at least 5-7 days, you're doing yourself and the beer a great favor. It will taste much better than if it were kept hotter during those first few days. After that, let it warm up to ambient temps, not exceeding 75F.
As said already, about 2 weeks after brewing, you'll need 8-10 12 oz bottles to package your beer in when it's done. In a pinch you could bottle in plastic soda bottles, as long as the caps seal well. Don't use 2 or 3 liter bottles as you need to finish them within a day (or 2) after you open them. They'll go flat.
Good luck!
