Hi,
While one will occasionally find an Enfield w/ an "undersized" bore that can handle .308-.309" bullets, the norm is they run "loose." So jacketed bullets of .311-.312" and lead bullets of .312-.314" are commonly suggested. Slugging the barrel should point you in the right direction.
I've used several powders in my .303s, generally settling on two, Alliant's Unique and Reloder 15. The Unique is used to make "pop gun" or gallery type cast bullet loads (100 yds is a stretch for the ones I load) while faster cast bullet loads (based on Lee's "Modern Reloading" book formula) and jacketed bullet loads from 123-180 gr all work nicely in my rifle w/ Rel15.
One thing you definitely want if you're shooting your .303s thru an Enfield is a neck sizer. Lee's Collet die shines in this department. The Enfield chambers are "generous" to be polite, and cause a lot of case stretching, especially if your rifle's gotten a bit loose on the headspace. Result is short case life, including head separations. Not good.
My Enfield could kill a case in two loadings before I got its head space squared away. After that, w/ full length resizing, case life went up to three or four loadings. Since I started using the collet die, case life has gone to six or seven and counting... just remember, neck sized cases are "rifle specific" so if you're loading for more than one rifle in the caliber, you'll want to segregate the cases.
Rick C