Whether they need to publish a routing depends under which rules they are flying eg. when the Canadian Lancaster traveled to the UK it did so via airways and the route was in the international flight planning system (and if you were listening to the ATC before it did it's final leg you would have heard the routing being given and read back by the aircraft). When travelling about between appearances it is usually at low level and not in formation so doesn't need to issue a route for other users. Because the flypasts at places like Windermere are scheduled as an 'airshow' they are NOTAMED. eg: (these 'include the Canadian lanc)
H4399/14: Air display will take place
Q)
EGTT/QWALW/IV/M/W/000/032/5423N00254W003
FLYPAST BY BATTLE OF BRITAIN MEMORIAL FLIGHT ACFT WI 3NM RADIUS
542241N 0025414W (WINDERMERE, CUMBRIA) OTHER AIRSPACE USERS ARE
REQUESTED TO AVOID THIS AREA DURING THE STATED TIMES. 14-09-0052/OPS
LOWER

urface
UPPER:3,200 Feet AMSL
FROM:07 Sep 2014 13:35 GMT (14:35 BST)
TO:07 Sep 2014 14:05 GMT (15:05 BST)
H4391/14: Air display will take place
Q)
EGTT/QWALW/IV/M/W/000/036/5334N00147W003
FLYPAST BY BATTLE OF BRITAIN MEMORIAL FLIGHT ACFT WI 3NM RADIUS
533418N 0014648W (HOLMFIRTH) OTHER AIRSPACE USERS ARE REQUESTED TO
AVOID THIS AREA DURING THE STATED TIMES. 14-09-0050/OPS
LOWER

urface
UPPER:3,600 Feet AMSL
FROM:07 Sep 2014 14:10 GMT (15:10 BST)
TO:07 Sep 2014 14:40 GMT (15:40 BST)
Travelling between places will usually be fairly direct
The sparrows normally transit at low level but have their routes NOTAMED because they fly in close formation (unless visibility is poor) eg:
H4389/14: Formation flying will take place
Q)
EGXX/QWVLW/IV/M/W/000/030/5404N00318W112
FORMATION TRANSIT BY RED ARROWS ACFT ROUTING:
543927N 0061257W (ALDERGROVE) 1800
542442N 0052822W (NE KILLYLEAGH) 1806
542937N 0032553W (SE WHITEHAVEN) 1818
541032N 0024425W (NE CARNFORTH) 1823
540434N 0013230W (N HARROGATE) 1830
535113N 0010922W (CHURCH FENTON) 1833
534136N 0003917W (NW WINTERTON) 1837
532857N 0002220W (SW CAISTOR) 1840
531827N 0003303W (SCAMPTON) 1842
FORMATION PLANS TO TRANSIT AT 500-2000FT AGL. TIMINGS, HGT AND ROUTE
ARE APRX AND MAY CHANGE DUE TO WX OR OTHER REQUIREMENTS.
14-09-0387/AS1
LOWER

urface
UPPER:3,000 Feet AMSL
FROM:07 Sep 2014 17:45 GMT (18:45 BST)
TO:07 Sep 2014 19:00 GMT (20:00 BST)
Again, they will travel directly between these points.
The sparrows rarely transmit ADS-B data.
All of the BBMF aircraft are fitted with ADS-B transponders but do not routinely transmit position info. users of websites such as flightradra24 will rarely see positions for BBMF aircraft as FR24 has poormulti-lateration capability so far. However, master users of Planeplotter software will usually be able to use multi-lateration to determine the positions even at low level as long as they are transmitting their ID.
The Canadian lancaster is fitted with ADS-B but has used it inconsistently whilst flying in the UK
The raw NOTAMs , as shown above are accessible online (via DoD, NATS etc) but for non-pilots the easiest way to look at them is probably via sites such as:
http://ukga.com/gis/notam
http://notaminfo.com/