For the rank Amateur, two Bernz-O-Matic torches, one regular, one MAPP with the F-16 afterburner tip. Heavy leather gloves, with heavy cotton gloves inside them. Tin the liner outside, the barrel inside, mount barrel vertically. I make a little socket, and hold it vertically in a Palmgren vise standing on the floor. heat the end of the barrel on the outside, position the liner. Start it in when the solder starts looking "wet." Brush on flux as you see the need (if everything's properly tinned, it shouldn't need much, if any.)
I just keep playing the torches up and down the outside of the barrel, larger sweeps with the MAPP, more localized with the propane, pushing the liner with my gloved hand as it starts feeling loose and decides to move (an inch at a time, sometimes!) and keeping the solder joint at the top from running out of metal. A helper on the torches is nice, but I can set the things down and pick them back up as needed. The barrel assembly stays hot. Don't ever heat the liner, just the outside of the barrel. If it's reasonably smooth on the outside, and you don't dribble any flux down it, it can come out a magnificent fire blue when you are done.
There was a TV show on once on how Vikings made swords. They had to keep the metal hot for four or five days, alternating heating with pounding, twisting and shaping. Took three or four workers, and nobody got any sleep.
Lining isn't as tough a job as that, at least.
Usually done in a couple hours or so, once everything gets good and hot. Eventually the end of the liner comes out the bottom in a mess of flux and spatter. Let everything cool, throw the spatter in the casting pot and it's Miller time.