This is a bit like how long is a piece of string but I will try to answer it for you.
First off is what to do you need?
You need a chef's knife (10" is the size I would recommend but YMMV). After that a paring knife. If you work with bread then a bread knife is very handy. I also find a 7" boning knife to be a very good all round tool for precision work.
You will also need a good sharpening steel.
Design?
Broadly speaking there are three main basic chef knife designs. German, French and Japanese.
German Chef's knives have wider bellies and a more pronounced curve in the edge. Without going into all the ergonomics this makes them easier to use and less likely for you to cut yourself.
French and Japanese knives are narrower and more efficient cutting tools, but require more care and skill in handling.
Steel.
Carbon steel leaves stainless for dead when it comes to knife performance. Problem is that is if you're not using and inspecting the knife daily it will rust at the first opportunity.
"Solingen" mix Stainless Steel. Has good cleanliness. Becomes blunt fairly easily but is easy to hone and sharpen.
Japanese high performance steels (eg VG-10). Are significantly harder than the standard Solingen alloy. This means you can have a thinner knife that will retain its edge for a very long time. They are a complete bitch to sharpen by hand and are also more brittle and more likely to snap when (not if) you drop one.
For a home user I recommend using a German design knife because it is easier to use, more robust and needs less special attention. I use French CS knives at work and they'll take fingers off the unwary at the first opportunity.
PS When I am using the term "German Knife" I am referring to the school of design, not the origin of a particular manufacturer.
Other factors you may want to include things like ergonomics - how it feels in your hand. We're all individuals.
German style makers that I think offer good knives:
Wusthof
Henckels
F Dick
Scanpan
Solicut
Dexter Russel (Premier range)
Victorinox (Professional range)
Some of these makers offer a wide range of knives, but you need to be looking for the fully forged knives.