I (thread starter) bought that Schwinn 1100 Deluxe bike pump from Target for $20. It comes w/ a Presta tire valve adapter (small brass piece). I hate it! The pump won't stay on the adapter. Every time I start pumping it, it falls off. It's a 2-man job - one to pump and the other to hold.

I'm going to return this and find another bike pump that has a built-in Presta adapter. It's a PITA dealing w/ multiple parts. Terrible design. The Amazon reviews where 2 people rated it 1/5 are completely correct. Lesson learned.