Your bike probably has a 1" threaded fork. That new fork also looks to be 1" threaded (certainly 1"). So it would be fine and your headset and stem will work with it. A 1" threadless fork would also probably work on the frame but you’d need a new headset and stem.
If the frame is 27" (which I take is correct?) you may be able to simply run 700c wheels with your current forks and with long-reach brake calipers (57mm long reach are readily available, and Tektro even make an extra-long reach 73mm caliper).
Polishing a turd. It will look sleeker if you sell it and spend money on something of better quality and closer to what you’d like it to be. Leave it as is, keep it as a beater. Spend your $'s on a better quality.
^Listen to this guy, he knows what he’s on about. Honestly.
Conversions on cheap frames should only be done to make a bike rideable, investing anything more than the bare minimum and you’re just throwing your money away. I’m not gonna tell you to go out and buy a shitty Cell bike. Just save your pennies, read up about what are good track bikes, roadies or beardos, and start some ‘saved searches’ on eBay.
Cut to the chase and just go out and get a top end carbon with electronic 11 speed. You’ll think it’s expensive, but it will save you 5 years and a lot of money by bypassing fixie, track, cx, retro roadie and beardo/rack builds.
yeah fuck you man, walk! dont you fucking know anyone who didnt know about this shit before fucking 2010 is a fucking asshole. like fuck honestly, how fucking dare you want to ride a bike