yes you should there are good bargins to be had.
but do you have english or Italian bb shell? also since riding is the most important part of cycling just finish the bike with what you ahve and ride it. then if you like the way it rides you can slowly upgrade over time.
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“One morning you wake up, the girl is gone, the bikes are gone, all that's left behind is a pair of old tires and a tube of tubular glue, all squeezed out"
Sugar "Kane" Kowalczyk