Just don't forget backups! I use Borgbackup for mine.
I know some people don't want a home server because of the space it'd take up, but you can get pretty powerful mini PCs these days (look for ones with an i3-N305 processor) or buy cheap second-hand ex-office PCs on eBay.
For people that still don't want to have a physical server at their house, you can do a lot of the same self-hosting stuff using a VPS. If you live in an area with expensive electricity (like California or Australia), you can usually get a VPS with a modern processor, ~8GB RAM, and a decent amount of NVMe disk space for $5/month or less, which is easily what it'd cost you just for the electricity usage of a home server.
I like GreenCloudVPS, and they've got a "budget" line that's very reasonably priced: https://greencloudvps.com/billing/store/budget-kvm-sale. They're currently running a promotion where if you pay for three years in advance, you get double the RAM. I think they're sold out of their cheapest one ($15/year) at the moment though.
A lot of hosts had good Black Friday / Cyber Monday sales recently so it's probably worth browsing LowEndTalk and seeing if any deals are still active.
How do you access it away from home. I'm able to access my NAS since Synology gives us a domain to use and we do everything using port forwarding. I would assume that if you set everything up by yourself, you would need to get your own domain and ssl certificates and everything?
I have a domain name on cloudflare DNS, Let's Encrypt certificates that auto renew and an Nginx reverse proxy pointing at the services I host. Port forwarding through the opnsense router for https.
It's been a journey setting it up, but its basically been unchanged for about 5 years now and works well. If I need to I can VPN in too.