First, go to the NASA eclipse site and look up details for the eclipse. Times will be given in UT (universal time), and will need to be converted to local time. For example, here is the timeline for the 1410.08 total lunar eclipse (adding conversion to Pacific time):
P1 Penumbral Eclipse Begins 08:15:33 UT 01:15:33 PDT
U1 Partial Eclipse Begins 09:14:48 UT 02:14:48 PDT
U2 Total Eclipse Begins 10:25:10 UT 03:25:10 PDT
Greatest Eclipse 10:54:36 UT 03:54:36 PDT
U3 Total Eclipse Ends 11:24:00 UT 04:24:00 PDT
U4 Partial Eclipse Ends 12:34:21 UT 05:34:21 PDT
P4 Penumbral Eclipse Ends 13:33:43 UT 06:33:43 PDT
See
Space.com's guide to the 1404.14 lunar eclipse
for some pretty thorough descriptions of the various stages and what to
watch for in each one.
However, there's no need to pore over it during the eclipse if you
understand the
basics yourself.
If you won't be spending the whole time outside during the eclipse, at least
be sure to come out to take a look at the moon during the several
minutes before and after each of the time points listed above, especially
U2 and U3.
Some final suggestions:
I'm looking forward to seeing it again at the next lunar eclipse!
Update 1404.20: Dave has posted some astrophotos. His full eclipse video summaries nicely how the eclipse goes from black and white in the umbral stages to "blood red" during totality.
Update 1406.12: Added article to newly created eclipse series