You will need the tool(s) to remove the BB.
As far as the headset goes, you can carefully tap out the cups using a hammer and screwdrivers, or make a tool using a legnth of thick copper tube that you cut two slits into , at right angles to each other, about 3 inches up the legnth of the tube. Bend the tabs back and insert into the headtube from the uncut side. The tabs will spring out inside the headtube and you can then use a hammer to get the cups out.
If you really like the frame, you should have the headtube and BB faced and the BB threads chased. This involves very expensive tools that are not worth buying unless you have a bike shop. Go to your lbs.
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Il faut de l'audace, encore de l'audace, toujours de l'audace
1980 3Rensho-- 1975 Raleigh Sprite 3spd
1990s Raleigh M20 MTB--2007 Windsor Hour (track)
1988 Ducati 750 F1