Interesting that they admit that the most I can get at that address is 10/1
If you go with any DSL provider, keep this number in mind. It's your technical limit on the wire. Even the scummiest of providers won't sell you faster than what the technical limits are, though.
I also run my own modem/router. Paid for itself in about 7 months.
This does seem wise. We own our router, I believe. CenturyLink is offering the $10/month modem lease or you can buy a modem from the for $99. Clearly it's better to buy because you will have paid for it after 10 months. But is their price of $99 good?
If you do wind up going CenturyLink in the end, be aware that there's no shortage of used Centurylink ADSL and VDSL modems on Ebay for as low as $15. Given the 10/1Mbps service cap, I suspect you'll need an ADSL modem, but check first. Paying $100 for an ADSL modem is bonkers (even new), and $100 for a new VDSL modem might be reasonable, but not if there are used available and they let you BYOD.
I wouldn't blame you going CenturyLink over Comcast, by the way. I've got a personal blacklist of major carriers that I personally won't directly deal with anymore, and Comcast is tied for first with AT&T on that list - if it's a choice between them and nothing without at least a third party buffer between us, I'll literally do without. If in your shoes, I'd take my lumps with CenturyLink if no other DSL provider could use the line. Of course, I've never dealt directly with CL, either. What I've heard of them has not been the most glowing, though, and I could theoretically see myself adding them to the list if the experience were bad enough... but without that experience, I'd still at least try them if I'd exhausted all my third party DSL options first.
The thing to remember is that third party ISPs that use/lease other carriers infrastructure by virtue have to provide better service to their end users to keep them happy. And ironically, they frequently wind up offering as good or better deals than "home users" dealing with the primary network carriers directly due to wholesale pricing.
Freewire and Integra seem to be business service only, although I did send a message to Freewire asking about residential services. I also filled out the "get a quote" form for MegaPath.
If the price is right, or reasonable, don't be afraid to go with business class internet service. All that means is that the extra that you might pay versus residential service is that they provide a quality of service guarantee, frequently faster upload speeds, and faster/better technical support.
All this said, click on the "Show Wired" link at the top of that list. That's what I did for the link I gave you, and it helps filter out all the wireless options. I suspect that everything from Verizon down on that screencap you posted is either mobile broadband or MEO VSAT (satellite), and neither are good options if you plan on streaming any video.
I also suspect that given the name of the one provider is Freewire and that they offer business services, it may be either microwave uplink or a business-focused WISP. I probably wouldn't waste much time with them.
I'm wishing I could have just kept Wave. That was so much simpler!
Hang in there. Maybe take a break, though. :)
Just remember, once you sort out who? Setup only needs to happen once at the new address, unless you decide to switch carriers down the road. This research will hopefully leave you happy, with affordable service and good support, and in a position long term where you don't need to keep going through this song and dance. Don't worry, that light down the tunnel isn't a freight train, it is actually daylight. You'll be fine.