Woody, welcome to the forum, it's a great resource for pool owners who have the time and inclination to take control of their investment.
10 gal sounds like a good start, especially since you didn't have any 'numbers' - chem test #s.
When you get the #s:
free cl
total cl
pH
total alk
cal hardness
CYA - stabilizer
it will help the folks here help you better. Also it'd be nice to know what % the bleach is. mwsmith (a highly respected member here) has a bleach calculator which can be linked to from any of his posts (just do an advanced search for his name), which should be able to help you with dosing the pool.
Good luck with your 'swamp' - hopefully if you post next week, it will be to say you had a great pool party Sunday!! (Oh yeah, chlorine is a sanitizer - there are others but cl is the preference here and I sincerely hope you didn't have Baquacil as a sanitizer last year, it doesn't play well with cl)