Convert 3.7v to 5v DC

There are a lot of designs out there on the interwebs for low budget 555 timer-based boost converters and charge pumps.
Here's some:
http://www.benjscott.com/2009/07/555-boost-converter/

Also have a look for "joule thief" designs -- which are simply boost converters

These are low budget things that you might have the parts on-hand for.