The margins of performance on AMD systems are a little less than Intel systems. That probably isn't significant to you unless you are really maxing out soft synths and heavy track counts. And as Dave said he is yet to push his system to its limits.
I would read reviews from many sources for the setup you want to build. There are occasional problems with both intel and AMD hardware. There are low end AMD chips and faster better AMD cpu's....difficult to make any kind of a blanket statement about "AMD" or "Intel".
Look at the specific hardware you want and research it.
AMD will be less expensive . Another thing to consider is getting slightly older generation hardware saves some money, but it doesn't significantly reduce performance in DAW work. This is especially true in the case of Intel. The latest technology will always be more expensive., but even so , if you shop around it won't be significantly more expensive.