Food processors aren't really what you need for making cakes, although they are great for rubbing fat into flour for pastry and crumbles. I would suggest a hand held electric mixer for cakes and a basic food processor for the veg then you might be able to stay on budget.
I use a Kenwood Prospero for both, this is the most basic sort of stand mixer, but it also makes dough and has a blender, neither of which you need. I find it great though as it is just there on the counter ready to go and doesn't take up much space.
no...just back from hols today...will have a look at the review link..the ideas that some would be good for pastry but an electric whisk might be best for cakes was helpful...we've got a hand whisk that i never think of using...needs some mulling... are you veering towards any partic one?