When I converted my first fixed gear, I just removed freewheel from old hub, and rotafixed/locktited/extra bb lockring -ed a cog on.
As far as chainline is concerned: I bought some washers from hardware store to respace axle - I was able to slightly move the hub on the axle without the rim hitting the chainstays. I also just shifted my large 52t chainring from the outside of the crank spider to the inside, additionally moving it in with two washers on each stack bolt (again from hardware store).
Everything else stayed the same - whole conversion only cost ~£5 for cog and lockring from lbs bin.
Keep brakes until really confident, then loose back only.
Also get clips and straps or clipless pedals - prevents incidents down hills.
When I converted my first fixed gear, I just removed freewheel from old hub, and rotafixed/locktited/extra bb lockring -ed a cog on.
As far as chainline is concerned: I bought some washers from hardware store to respace axle - I was able to slightly move the hub on the axle without the rim hitting the chainstays. I also just shifted my large 52t chainring from the outside of the crank spider to the inside, additionally moving it in with two washers on each stack bolt (again from hardware store).
Everything else stayed the same - whole conversion only cost ~£5 for cog and lockring from lbs bin.
Keep brakes until really confident, then loose back only.
Also get clips and straps or clipless pedals - prevents incidents down hills.
My views only.