1983 Fuji Monterey 10 Speed

Nice bike. Looks to be in pretty good shape.

If it was me, on a tight budget, if you already haven't you can get some grease and lube the bearings (you'll need a special tool for the cotterless cranks, but you probably know that, I didn't the first time I took mine off and they were loose when I put them back on. Shimmed them with grease soaked newspaper and rode them another 8 years or so.)

I don't get the whole fixed gear thing, I'm in a pretty flat place, but with winds and gentle slopes I use 3 or 4 of my 10 gears. Everybody started out fixed, but I think it was in the 20's a lady with a 3-speed derailleur bike made a professional on his fixed gear look bad in the Alps. But then I'm an old geezer, what do I know.

If you have steel rims, talk to local bike shops and look for useable alloy rim wheels. Brakes work a lot better on alloy rims than steel, and they are easier to true, and tires stay on better. If yours are 27 inch, and you aren't snobbish about hubs, you should be able to find something very cheap. If your rims are alloy, and if you can bear the stigma of riding a 10-speed when all the cool people are fixed, just true the rims. Then when the wind is at your back, or going downhill, you'll upshift and drop all the guys on fixies.