Hill Climb Set Up & Position

So I want to have a go at Hill climbing this season. My size will prevent me from being a serious competitor, but I'm hoping the competitive edge will push me to train harder and imporve my climbing technique for next seasons road racing.

All of this is relevant because I don't want to spend more than £70 setting my bike up for this purpose.

I'd like to use my track bike as it's light and I like climbing fixed. So was thinking of these changes to use it for hill climbing:

• Swap drops for bull horns
  
• Swap forks for drilled road forks
  
• Fit front brake.
  
• Swap the sprocket/chain ring to suit whichever hill I'm going up.
  
  

Pretty straight forward, but I'm interested in the finer detail of the set up and whether I should consider changing my saddle height/angle/ fore-aft position, reach, bar height etc. to suit a climbing specific position.

I'm probably just overthinking this, but any advice would be appreciated.