I love primes. The only zoom I own is a 70-200 2.8. There's only a few situations I found where I've really needed a zoom. One is air-to-air photography from fast jets (I mostly used a 17-40L for that) as I had to make the focal length fit the situation not the other way round. The other occasions is sport where I found the 70-200 to be extremely good. Again, that's a situation where I have to fit around what is happening from one static position.
All other times it's prime lenses for me. One great plus point for primes is that you can get high image quality and a fast lens for little money. Don't fall into the trap of thinking you need to spend a lot on primes. The law of diminishing returns is definitely in force. The standard prime from all the top manufacturers tend to be very good. There's little point shelling out for lenses like the 85 1.2 unless you have that money to burn.
If I was still shooting Canon, my pick for a general walk around set-up on a FF camera would be: EF28mm 1.8, EF50mm 1.8, EF85mm 1.8, Sigma 105 Macro (cheaper non-OS one).