The TNG Technical Manual offers a range of scenarios for ship evacuation of the Galaxy Class Enterprise-D
Resources available for abandon-ship scenarios include:
Ability to transport up to 1,850 persons per hour from the ship via
personnel transporters, including the use of emergency beam-out-only
transporters.
Availability of five personnel shuttlecraft on immediate standby and
up to six additional shuttles available on twelve-hour notice.
Additional shuttle vehicles may be available depending on other
mission requirements and maintenance status. Total transport capacity
of these vehicles varies with range and other factors, but averages
250 persons per hour from standard orbit to a Class M planetary
surface.
Abandon-ship protocols include use of ASRV (autonomous survival and
recovery vehicle) lifeboats, which provide free space survival
accommodations for up to 1,400 individuals for up to fourteen days. A
total of four hundred ASRVs are available
In a lesser emergency in either the Saucer Module or the Stardrive
Section, the saucer separation maneuver is an option, with evacuation
of the ship's company to whichever section is not affected by the
crisis. Evacuation protocols include options to leave behind a team of
engineering personnel or other specialists who will attempt to deal
with the emergency situation.
Environmental suits are available for evacuation into the space
environment. In such scenarios, personnel may exit through any of the
exterior airlocks, through the shuttle- bays, or through the exterior
turbolift couplings (assuming that the turbolift system has been
disabled). Environmental suits are available in storage lockers at all
exit ports and shuttle- bays, as well as in emergency equipment
lockers located in corridor storage modules located throughout the
habitable volume of the spacecraft.
It is very likely that Picard intended for immediate evacuation via the ship's non-warp-capable lifepods and warp-capable shuttles.
The nature of its missions in the galaxy requires that the Enterprise carry a set of small spacecraft for dedicated escape and rescue operations. Located throughout both the Primary and Secondary Hulls, these ejectable lifeboats are designed to meet the short-term survival needs of the starship crew in the event of a catastrophic emergency.

You may also wish to note that in TNG: Cause and Effect, Riker explicitly mentions that the Enterprise has emergency escape pods.
RIKER: This is the Bridge. All hands to emergency escape pods.