My 2-cents.
I work extensively with both. It really depends upon your greatest need. With a desktop, you get a lot of bang for the buck, plus you can more reasonably get buy an AdobeRGB rated monitor. To me, accurate color has always been the primary concern. Bad color = bad photos. sRGB is not bad, just incomplete, depending on what you do. If most work will be internet/screen, then sRGB is fine. Most of my work is for print (CMYK). Though it's a narrower gamut than aRGB, I still like having the widest gamut when editing.
Laptops are portable, and some very powerful. However, most screens are NOT aRGB. Even vaunted Apple and their MacBook Pro only manages about 70% aRGB and barely over 100% sRGB. With notebooks, it's generally a closed system, so not upgradeable -- some even limit upgrading RAM -- so what you order initially will be what you have forever. I will occasionally edit a client's work while on location on my notebook, but that's only when I'm shooting for one client and another need work immediately. Anything critical waits, if possible, till I get home. With Most laptops these days, an external monitor can be attached, so you CAN get a larger screen for editing as well as better color.
In the end, laptops are portable, but can be limited if you have to do any amount of serious editing. If you go that route, do yourself a favor: no small screens. Eschew the cute little 13" and 14" screens and got to a 15". Your eyes will thank you. If you want power, then there is truly no comparision. For your budget a desktop you can have larger drives, more memory and more expandability and significantly greater processing power (e.g. - 8-core vs 4-core). If you are at all geeky, you can upgrade components as needed.
My setup:
AMD Ryzen 7 1800x, Asrock X370 Killer SLI
64GB RAM
nVidia GTX1080 w/8GB, 2 - 24" NEC PA241 monitors (98% aRGB)
Samsung 960 Pro m.2 512GB
WD Black 2TB HDD
and numerous external drives