bruceyspruce wrotewould it be reasonable/economical to get a rig for home ($2,000 range) AND ALSO a laptop for when I'm on the go (perhaps $1,000 range)? Or at this price point, would it be more worth it to stick my funds in one or the other?
We can't really make this decision for you, sorry. Also, we don't really know what you mean by "on the go". If you're sitting on trains/planes or whatever a lot, then yeah it might be worth having a laptop to do some of your music/video work, but I'd just grab something reasonable(half decent CPU is really all you'll need in a laptop IMO) instead of trying to get a really high end laptop. Then, put the bulk of your budget in to a proper desktop so that you have a high performance system when you're at home.
Any idea of the kinds of games you'll be playing? This will be useful for recommending appropriate parts, as well as a monitor.
Also, will you be editing 4k videos constantly, or occasionally editing 1080p clips? An idea of your workload will again really help us to recommend appropriate parts.