Possible Clues:

• Australian flyer has to shift equipment by air without one
• Flier may get move, right to the south of European capital
• Little bird, one moving around Baltic capital
• Move equipment — upset artist's pet perhaps
• Druggie, high in pub, points to caged bird?
• Shift gear with artist backing little singer
• Shift capital and run, getting a flyer
• Small cage and aviary bird
• Chatty domesticated bird from violent druggie bar
• Maybe one moving round capital city gets the bird