Alec has given you some sound advice, Modern kitchen makers use loads of tools like the ones listed by woodland dweller, but lets not forget the old boys that could doall of it with handsaws, chisels. planes etc.
If you want to make money at it then you need a lot of kit, but for you not so much, In my opinion things you cant do without.
1.Planer thicknesser. I have the same as alec dw733, but mine as a factory recon for about £340. Money welll spent.
2.Circular saw. Try and get 4" cut if you can.
3.Drill
4. orbital sander
5. powerful router(i have dewalt dw625 and love it.)
6. biscuit jointer.
7. Various hand tools. chisels, mallets,planes,saws, lots of clamps etc.
Table saw would be good, routertable too, but not desperate.
Kitchen design.
Professional kitchen makers are gunna tell you you need paneled doors and structural cupboards, but imo you dont for yourself.
Ive built a couple of small oak kitchens in the past and heres a few tips to make it easier.
Doors can be simple and effective, no need for fancy joinery, ledged and braced with biscuit jointed panels can work just as well as paneled doors. Can even use t hinges instead ofconcealed hinges. somethinglike these would look great. JOB LOT OF FORGED IRON GOTHIC HINGES. 24 IN ALL PLUS SCREWS!! KITCHEN, FURNITURE | eBay
Make good use of rear wall where possible to help you construct your units. Traditional kitchen dont take any real structural support from back wall, but imo the novice can use it to his advantage.
Take it on small bits at a time, and dont try to conceal everything like a modern kitchen.If you struggle with some joint use others. Eg. Rails and legs should be morticed and tenoned, but can also be half housed, so you could take one run of units, cut top and bottom rails to length, mark out where all legs go half house rails in correct places, half house legs to suit, Glue and screw from behind and you have the front of one run of cupboards. Not strictly correct but more achievable than traditional joints.
Remember this is the only part you can see without opening doors(except end panels), so if you use a few screw fixings to help you out where there not seen, who cares.
My last piece ofadvice is think hard before putting wooden worktops around sink, they never stay looking good, if you can afford a small piece of granite around sink itwould be far better.
These ideas will probably get slated by other joiners, but im also a trained carpenter, have all the tools i need, I also teach novices basic carpentry skills on weekend courses(also do a roofing course and an eco foundation course) i think its important onthese courses not to baffle people with tools needed, skills to learn but show what can be achieved with basic knowledge and tools. Sure your kitchen wont be as great when scrutinized as oneof woodland dweller, but you would need to look under cupboards or stick your head in them to notice this.
Hope this helps.
James