Schrader valves are one-way!
WikiHow says that you can just reverse part of the bike pump. Are they oversimplifying? Everyone else has a few more steps!
You know, there is a cheaper way. Have you ever inflated a mattress, pool toy, etc., without a pump? Here! Watch this awkward video!
Someone pointed out that foot pumps for air mattresses are often reversible.
This one is $12.21, but Harbor Freight's transfer pump is $7, although
here is a coupon for $3 off.